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Finding the Fourth Proportional to 83.44, 115.02 and 65.88

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Solution

The fourth proportional to 83.44, 115.02 and 65.88 is: 90.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.44 : 115.02 = 65.88 : x
  2. Step 2: Convert to fraction form
    83.44/115.02 = 65.88/x
  3. Step 3: Cross multiply
    83.44x = 115.02 × 65.88
  4. Step 4: Simplify right side
    83.44x = 7,577.52
  5. Step 5: Solve for x
    x = 7,577.52/83.44
  6. Step 6: Final answer
    x = 90.81

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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.