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Finding the Fourth Proportional to 82.59, 123.81 and 75.46

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Solution

The fourth proportional to 82.59, 123.81 and 75.46 is: 113.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.59 : 123.81 = 75.46 : x
  2. Step 2: Convert to fraction form
    82.59/123.81 = 75.46/x
  3. Step 3: Cross multiply
    82.59x = 123.81 × 75.46
  4. Step 4: Simplify right side
    82.59x = 9,342.70
  5. Step 5: Solve for x
    x = 9,342.70/82.59
  6. Step 6: Final answer
    x = 113.12

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Why These Related Problems?

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