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Finding the Fourth Proportional to 83.54, 124.66 and 74.46

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Solution

The fourth proportional to 83.54, 124.66 and 74.46 is: 111.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.54 : 124.66 = 74.46 : x
  2. Step 2: Convert to fraction form
    83.54/124.66 = 74.46/x
  3. Step 3: Cross multiply
    83.54x = 124.66 × 74.46
  4. Step 4: Simplify right side
    83.54x = 9,282.18
  5. Step 5: Solve for x
    x = 9,282.18/83.54
  6. Step 6: Final answer
    x = 111.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.