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Finding the Fourth Proportional to 107.78, 148.80 and 83.17

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Solution

The fourth proportional to 107.78, 148.80 and 83.17 is: 114.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.78 : 148.80 = 83.17 : x
  2. Step 2: Convert to fraction form
    107.78/148.80 = 83.17/x
  3. Step 3: Cross multiply
    107.78x = 148.80 × 83.17
  4. Step 4: Simplify right side
    107.78x = 12,375.70
  5. Step 5: Solve for x
    x = 12,375.70/107.78
  6. Step 6: Final answer
    x = 114.82

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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.