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Finding the Fourth Proportional to 124.11, 170.78 and 116.82

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Solution

The fourth proportional to 124.11, 170.78 and 116.82 is: 160.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    124.11 : 170.78 = 116.82 : x
  2. Step 2: Convert to fraction form
    124.11/170.78 = 116.82/x
  3. Step 3: Cross multiply
    124.11x = 170.78 × 116.82
  4. Step 4: Simplify right side
    124.11x = 19,949.94
  5. Step 5: Solve for x
    x = 19,949.94/124.11
  6. Step 6: Final answer
    x = 160.74

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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.