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Finding the Fourth Proportional to 71.57, 98.72 and 55.01

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Solution

The fourth proportional to 71.57, 98.72 and 55.01 is: 75.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.57 : 98.72 = 55.01 : x
  2. Step 2: Convert to fraction form
    71.57/98.72 = 55.01/x
  3. Step 3: Cross multiply
    71.57x = 98.72 × 55.01
  4. Step 4: Simplify right side
    71.57x = 5,430.59
  5. Step 5: Solve for x
    x = 5,430.59/71.57
  6. Step 6: Final answer
    x = 75.88

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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.