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Finding the Fourth Proportional to 118.10, 176.16 and 107.61

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Solution

The fourth proportional to 118.10, 176.16 and 107.61 is: 160.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.10 : 176.16 = 107.61 : x
  2. Step 2: Convert to fraction form
    118.10/176.16 = 107.61/x
  3. Step 3: Cross multiply
    118.10x = 176.16 × 107.61
  4. Step 4: Simplify right side
    118.10x = 18,956.58
  5. Step 5: Solve for x
    x = 18,956.58/118.10
  6. Step 6: Final answer
    x = 160.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.