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Finding the Fourth Proportional to 96.23, 132.78 and 62.52

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Solution

The fourth proportional to 96.23, 132.78 and 62.52 is: 86.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96.23 : 132.78 = 62.52 : x
  2. Step 2: Convert to fraction form
    96.23/132.78 = 62.52/x
  3. Step 3: Cross multiply
    96.23x = 132.78 × 62.52
  4. Step 4: Simplify right side
    96.23x = 8,301.02
  5. Step 5: Solve for x
    x = 8,301.02/96.23
  6. Step 6: Final answer
    x = 86.27

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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.