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Finding the Fourth Proportional to 81.89, 112.93 and 77.24

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Solution

The fourth proportional to 81.89, 112.93 and 77.24 is: 106.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.89 : 112.93 = 77.24 : x
  2. Step 2: Convert to fraction form
    81.89/112.93 = 77.24/x
  3. Step 3: Cross multiply
    81.89x = 112.93 × 77.24
  4. Step 4: Simplify right side
    81.89x = 8,722.71
  5. Step 5: Solve for x
    x = 8,722.71/81.89
  6. Step 6: Final answer
    x = 106.52

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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.