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Finding the Fourth Proportional to 81.34, 112.26 and 53.71

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Solution

The fourth proportional to 81.34, 112.26 and 53.71 is: 74.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    81.34 : 112.26 = 53.71 : x
  2. Step 2: Convert to fraction form
    81.34/112.26 = 53.71/x
  3. Step 3: Cross multiply
    81.34x = 112.26 × 53.71
  4. Step 4: Simplify right side
    81.34x = 6,030.04
  5. Step 5: Solve for x
    x = 6,030.04/81.34
  6. Step 6: Final answer
    x = 74.13

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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.