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Finding the Fourth Proportional to 82.85, 124.09 and 37.13

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Solution

The fourth proportional to 82.85, 124.09 and 37.13 is: 55.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.85 : 124.09 = 37.13 : x
  2. Step 2: Convert to fraction form
    82.85/124.09 = 37.13/x
  3. Step 3: Cross multiply
    82.85x = 124.09 × 37.13
  4. Step 4: Simplify right side
    82.85x = 4,606.75
  5. Step 5: Solve for x
    x = 4,606.75/82.85
  6. Step 6: Final answer
    x = 55.61

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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.