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Finding the Fourth Proportional to 96.60, 144.92 and 42.52

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Solution

The fourth proportional to 96.60, 144.92 and 42.52 is: 63.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.60 : 144.92 = 42.52 : x
  2. Step 2: Convert to fraction form
    96.60/144.92 = 42.52/x
  3. Step 3: Cross multiply
    96.60x = 144.92 × 42.52
  4. Step 4: Simplify right side
    96.60x = 6,162.00
  5. Step 5: Solve for x
    x = 6,162.00/96.60
  6. Step 6: Final answer
    x = 63.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.