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Finding the Fourth Proportional to 81.47, 112.41 and 52.34

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Solution

The fourth proportional to 81.47, 112.41 and 52.34 is: 72.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.47 : 112.41 = 52.34 : x
  2. Step 2: Convert to fraction form
    81.47/112.41 = 52.34/x
  3. Step 3: Cross multiply
    81.47x = 112.41 × 52.34
  4. Step 4: Simplify right side
    81.47x = 5,883.54
  5. Step 5: Solve for x
    x = 5,883.54/81.47
  6. Step 6: Final answer
    x = 72.22

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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.