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Finding the Fourth Proportional to 107.71, 148.61 and 81.47

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Solution

The fourth proportional to 107.71, 148.61 and 81.47 is: 112.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.71 : 148.61 = 81.47 : x
  2. Step 2: Convert to fraction form
    107.71/148.61 = 81.47/x
  3. Step 3: Cross multiply
    107.71x = 148.61 × 81.47
  4. Step 4: Simplify right side
    107.71x = 12,107.83
  5. Step 5: Solve for x
    x = 12,107.83/107.71
  6. Step 6: Final answer
    x = 112.41

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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.