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Finding the Fourth Proportional to 82.65, 114.05 and 49.91

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Solution

The fourth proportional to 82.65, 114.05 and 49.91 is: 68.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.65 : 114.05 = 49.91 : x
  2. Step 2: Convert to fraction form
    82.65/114.05 = 49.91/x
  3. Step 3: Cross multiply
    82.65x = 114.05 × 49.91
  4. Step 4: Simplify right side
    82.65x = 5,691.42
  5. Step 5: Solve for x
    x = 5,691.42/82.65
  6. Step 6: Final answer
    x = 68.86

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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.