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Finding the Fourth Proportional to 118.07, 176.76 and 106.68

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Solution

The fourth proportional to 118.07, 176.76 and 106.68 is: 159.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.07 : 176.76 = 106.68 : x
  2. Step 2: Convert to fraction form
    118.07/176.76 = 106.68/x
  3. Step 3: Cross multiply
    118.07x = 176.76 × 106.68
  4. Step 4: Simplify right side
    118.07x = 18,857.42
  5. Step 5: Solve for x
    x = 18,857.42/118.07
  6. Step 6: Final answer
    x = 159.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.