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Finding the Fourth Proportional to 24.31, 33.55 and 14.61

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Solution

The fourth proportional to 24.31, 33.55 and 14.61 is: 20.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.31 : 33.55 = 14.61 : x
  2. Step 2: Convert to fraction form
    24.31/33.55 = 14.61/x
  3. Step 3: Cross multiply
    24.31x = 33.55 × 14.61
  4. Step 4: Simplify right side
    24.31x = 490.17
  5. Step 5: Solve for x
    x = 490.17/24.31
  6. Step 6: Final answer
    x = 20.16

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