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Finding the Fourth Proportional to 83.74, 115.23 and 74.02

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Solution

The fourth proportional to 83.74, 115.23 and 74.02 is: 101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.74 : 115.23 = 74.02 : x
  2. Step 2: Convert to fraction form
    83.74/115.23 = 74.02/x
  3. Step 3: Cross multiply
    83.74x = 115.23 × 74.02
  4. Step 4: Simplify right side
    83.74x = 8,529.32
  5. Step 5: Solve for x
    x = 8,529.32/83.74
  6. Step 6: Final answer
    x = 101.85

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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.