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Finding the Fourth Proportional to 81.42, 112.32 and 77.76

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Solution

The fourth proportional to 81.42, 112.32 and 77.76 is: 107.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.42 : 112.32 = 77.76 : x
  2. Step 2: Convert to fraction form
    81.42/112.32 = 77.76/x
  3. Step 3: Cross multiply
    81.42x = 112.32 × 77.76
  4. Step 4: Simplify right side
    81.42x = 8,734.00
  5. Step 5: Solve for x
    x = 8,734.00/81.42
  6. Step 6: Final answer
    x = 107.27

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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.