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Finding the Fourth Proportional to 82.64, 123.96 and 64.52

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Solution

The fourth proportional to 82.64, 123.96 and 64.52 is: 96.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.64 : 123.96 = 64.52 : x
  2. Step 2: Convert to fraction form
    82.64/123.96 = 64.52/x
  3. Step 3: Cross multiply
    82.64x = 123.96 × 64.52
  4. Step 4: Simplify right side
    82.64x = 7,997.90
  5. Step 5: Solve for x
    x = 7,997.90/82.64
  6. Step 6: Final answer
    x = 96.78

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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.