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Finding the Fourth Proportional to 81.64, 112.65 and 50.56

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Solution

The fourth proportional to 81.64, 112.65 and 50.56 is: 69.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.64 : 112.65 = 50.56 : x
  2. Step 2: Convert to fraction form
    81.64/112.65 = 50.56/x
  3. Step 3: Cross multiply
    81.64x = 112.65 × 50.56
  4. Step 4: Simplify right side
    81.64x = 5,695.58
  5. Step 5: Solve for x
    x = 5,695.58/81.64
  6. Step 6: Final answer
    x = 69.76

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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.