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Finding the Fourth Proportional to 71.42, 98.59 and 55.92

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Solution

The fourth proportional to 71.42, 98.59 and 55.92 is: 77.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.42 : 98.59 = 55.92 : x
  2. Step 2: Convert to fraction form
    71.42/98.59 = 55.92/x
  3. Step 3: Cross multiply
    71.42x = 98.59 × 55.92
  4. Step 4: Simplify right side
    71.42x = 5,513.15
  5. Step 5: Solve for x
    x = 5,513.15/71.42
  6. Step 6: Final answer
    x = 77.19

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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.