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Finding the Fourth Proportional to 30.40, 42 and 23.14

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Solution

The fourth proportional to 30.40, 42 and 23.14 is: 31.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.40 : 42 = 23.14 : x
  2. Step 2: Convert to fraction form
    30.40/42 = 23.14/x
  3. Step 3: Cross multiply
    30.40x = 42 × 23.14
  4. Step 4: Simplify right side
    30.40x = 971.88
  5. Step 5: Solve for x
    x = 971.88/30.40
  6. Step 6: Final answer
    x = 31.97

Related Problems

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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.