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Finding the Fourth Proportional to 30.71, 42.41 and 23.02

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Solution

The fourth proportional to 30.71, 42.41 and 23.02 is: 31.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.71 : 42.41 = 23.02 : x
  2. Step 2: Convert to fraction form
    30.71/42.41 = 23.02/x
  3. Step 3: Cross multiply
    30.71x = 42.41 × 23.02
  4. Step 4: Simplify right side
    30.71x = 976.10
  5. Step 5: Solve for x
    x = 976.10/30.71
  6. Step 6: Final answer
    x = 31.78

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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.