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Finding the Fourth Proportional to 107.31, 148.06 and 82.71

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Solution

The fourth proportional to 107.31, 148.06 and 82.71 is: 114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.31 : 148.06 = 82.71 : x
  2. Step 2: Convert to fraction form
    107.31/148.06 = 82.71/x
  3. Step 3: Cross multiply
    107.31x = 148.06 × 82.71
  4. Step 4: Simplify right side
    107.31x = 12,246.04
  5. Step 5: Solve for x
    x = 12,246.04/107.31
  6. Step 6: Final answer
    x = 114.12

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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.