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Finding the Fourth Proportional to 24.31, 36.32 and 15.22

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Solution

The fourth proportional to 24.31, 36.32 and 15.22 is: 22.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    24.31 : 36.32 = 15.22 : x
  2. Step 2: Convert to fraction form
    24.31/36.32 = 15.22/x
  3. Step 3: Cross multiply
    24.31x = 36.32 × 15.22
  4. Step 4: Simplify right side
    24.31x = 552.79
  5. Step 5: Solve for x
    x = 552.79/24.31
  6. Step 6: Final answer
    x = 22.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.