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Finding the Fourth Proportional to 71.53, 98.87 and 66.98

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Solution

The fourth proportional to 71.53, 98.87 and 66.98 is: 92.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.53 : 98.87 = 66.98 : x
  2. Step 2: Convert to fraction form
    71.53/98.87 = 66.98/x
  3. Step 3: Cross multiply
    71.53x = 98.87 × 66.98
  4. Step 4: Simplify right side
    71.53x = 6,622.05
  5. Step 5: Solve for x
    x = 6,622.05/71.53
  6. Step 6: Final answer
    x = 92.57

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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.