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Finding the Fourth Proportional to 82.24, 113.50 and 60.42

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Solution

The fourth proportional to 82.24, 113.50 and 60.42 is: 83.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.24 : 113.50 = 60.42 : x
  2. Step 2: Convert to fraction form
    82.24/113.50 = 60.42/x
  3. Step 3: Cross multiply
    82.24x = 113.50 × 60.42
  4. Step 4: Simplify right side
    82.24x = 6,857.67
  5. Step 5: Solve for x
    x = 6,857.67/82.24
  6. Step 6: Final answer
    x = 83.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.