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Finding the Fourth Proportional to 30.84, 42.60 and 27.19

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Solution

The fourth proportional to 30.84, 42.60 and 27.19 is: 37.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.84 : 42.60 = 27.19 : x
  2. Step 2: Convert to fraction form
    30.84/42.60 = 27.19/x
  3. Step 3: Cross multiply
    30.84x = 42.60 × 27.19
  4. Step 4: Simplify right side
    30.84x = 1,158.29
  5. Step 5: Solve for x
    x = 1,158.29/30.84
  6. Step 6: Final answer
    x = 37.56

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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.