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Finding the Fourth Proportional to 83.77, 115.32 and 65.24

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Solution

The fourth proportional to 83.77, 115.32 and 65.24 is: 89.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.77 : 115.32 = 65.24 : x
  2. Step 2: Convert to fraction form
    83.77/115.32 = 65.24/x
  3. Step 3: Cross multiply
    83.77x = 115.32 × 65.24
  4. Step 4: Simplify right side
    83.77x = 7,523.58
  5. Step 5: Solve for x
    x = 7,523.58/83.77
  6. Step 6: Final answer
    x = 89.81

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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.