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Finding the Fourth Proportional to 82.83, 124.17 and 34.74

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Solution

The fourth proportional to 82.83, 124.17 and 34.74 is: 52.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.83 : 124.17 = 34.74 : x
  2. Step 2: Convert to fraction form
    82.83/124.17 = 34.74/x
  3. Step 3: Cross multiply
    82.83x = 124.17 × 34.74
  4. Step 4: Simplify right side
    82.83x = 4,313.67
  5. Step 5: Solve for x
    x = 4,313.67/82.83
  6. Step 6: Final answer
    x = 52.08

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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.