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Finding the Fourth Proportional to 83.64, 115.62 and 77.16

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Solution

The fourth proportional to 83.64, 115.62 and 77.16 is: 106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.64 : 115.62 = 77.16 : x
  2. Step 2: Convert to fraction form
    83.64/115.62 = 77.16/x
  3. Step 3: Cross multiply
    83.64x = 115.62 × 77.16
  4. Step 4: Simplify right side
    83.64x = 8,921.24
  5. Step 5: Solve for x
    x = 8,921.24/83.64
  6. Step 6: Final answer
    x = 106.66

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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.