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Finding the Fourth Proportional to 82.83, 124.82 and 75.12

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Solution

The fourth proportional to 82.83, 124.82 and 75.12 is: 113.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.83 : 124.82 = 75.12 : x
  2. Step 2: Convert to fraction form
    82.83/124.82 = 75.12/x
  3. Step 3: Cross multiply
    82.83x = 124.82 × 75.12
  4. Step 4: Simplify right side
    82.83x = 9,376.48
  5. Step 5: Solve for x
    x = 9,376.48/82.83
  6. Step 6: Final answer
    x = 113.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.