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Finding the Fourth Proportional to 63.12, 86.96 and 52.16

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Solution

The fourth proportional to 63.12, 86.96 and 52.16 is: 71.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.12 : 86.96 = 52.16 : x
  2. Step 2: Convert to fraction form
    63.12/86.96 = 52.16/x
  3. Step 3: Cross multiply
    63.12x = 86.96 × 52.16
  4. Step 4: Simplify right side
    63.12x = 4,535.83
  5. Step 5: Solve for x
    x = 4,535.83/63.12
  6. Step 6: Final answer
    x = 71.86

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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.