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Finding the Fourth Proportional to 96.10, 132.70 and 68.52

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Solution

The fourth proportional to 96.10, 132.70 and 68.52 is: 94.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.10 : 132.70 = 68.52 : x
  2. Step 2: Convert to fraction form
    96.10/132.70 = 68.52/x
  3. Step 3: Cross multiply
    96.10x = 132.70 × 68.52
  4. Step 4: Simplify right side
    96.10x = 9,092.60
  5. Step 5: Solve for x
    x = 9,092.60/96.10
  6. Step 6: Final answer
    x = 94.62

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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.