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Finding the Fourth Proportional to 83.12, 114.80 and 77.76

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Solution

The fourth proportional to 83.12, 114.80 and 77.76 is: 107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.12 : 114.80 = 77.76 : x
  2. Step 2: Convert to fraction form
    83.12/114.80 = 77.76/x
  3. Step 3: Cross multiply
    83.12x = 114.80 × 77.76
  4. Step 4: Simplify right side
    83.12x = 8,926.85
  5. Step 5: Solve for x
    x = 8,926.85/83.12
  6. Step 6: Final answer
    x = 107.40

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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.