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Finding the Fourth Proportional to 71.70, 98.98 and 66.56

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Solution

The fourth proportional to 71.70, 98.98 and 66.56 is: 91.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.70 : 98.98 = 66.56 : x
  2. Step 2: Convert to fraction form
    71.70/98.98 = 66.56/x
  3. Step 3: Cross multiply
    71.70x = 98.98 × 66.56
  4. Step 4: Simplify right side
    71.70x = 6,588.11
  5. Step 5: Solve for x
    x = 6,588.11/71.70
  6. Step 6: Final answer
    x = 91.88

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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.