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Finding the Fourth Proportional to 63.57, 87.86 and 56.13

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Solution

The fourth proportional to 63.57, 87.86 and 56.13 is: 77.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    63.57 : 87.86 = 56.13 : x
  2. Step 2: Convert to fraction form
    63.57/87.86 = 56.13/x
  3. Step 3: Cross multiply
    63.57x = 87.86 × 56.13
  4. Step 4: Simplify right side
    63.57x = 4,931.84
  5. Step 5: Solve for x
    x = 4,931.84/63.57
  6. Step 6: Final answer
    x = 77.59

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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.