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Finding the Fourth Proportional to 83.32, 115.04 and 55.74

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Solution

The fourth proportional to 83.32, 115.04 and 55.74 is: 76.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.32 : 115.04 = 55.74 : x
  2. Step 2: Convert to fraction form
    83.32/115.04 = 55.74/x
  3. Step 3: Cross multiply
    83.32x = 115.04 × 55.74
  4. Step 4: Simplify right side
    83.32x = 6,412.33
  5. Step 5: Solve for x
    x = 6,412.33/83.32
  6. Step 6: Final answer
    x = 76.96

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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.