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Finding the Fourth Proportional to 81.32, 112.01 and 77.20

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Solution

The fourth proportional to 81.32, 112.01 and 77.20 is: 106.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.32 : 112.01 = 77.20 : x
  2. Step 2: Convert to fraction form
    81.32/112.01 = 77.20/x
  3. Step 3: Cross multiply
    81.32x = 112.01 × 77.20
  4. Step 4: Simplify right side
    81.32x = 8,647.17
  5. Step 5: Solve for x
    x = 8,647.17/81.32
  6. Step 6: Final answer
    x = 106.34

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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.