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Finding the Fourth Proportional to 82.92, 123.72 and 69.40

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Solution

The fourth proportional to 82.92, 123.72 and 69.40 is: 103.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.92 : 123.72 = 69.40 : x
  2. Step 2: Convert to fraction form
    82.92/123.72 = 69.40/x
  3. Step 3: Cross multiply
    82.92x = 123.72 × 69.40
  4. Step 4: Simplify right side
    82.92x = 8,586.17
  5. Step 5: Solve for x
    x = 8,586.17/82.92
  6. Step 6: Final answer
    x = 103.55

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.