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Finding the Fourth Proportional to 69.52, 96.46 and 66.32

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Solution

The fourth proportional to 69.52, 96.46 and 66.32 is: 92.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.52 : 96.46 = 66.32 : x
  2. Step 2: Convert to fraction form
    69.52/96.46 = 66.32/x
  3. Step 3: Cross multiply
    69.52x = 96.46 × 66.32
  4. Step 4: Simplify right side
    69.52x = 6,397.23
  5. Step 5: Solve for x
    x = 6,397.23/69.52
  6. Step 6: Final answer
    x = 92.02

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.