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Finding the Fourth Proportional to 118.45, 176.17 and 116.02

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Solution

The fourth proportional to 118.45, 176.17 and 116.02 is: 172.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.45 : 176.17 = 116.02 : x
  2. Step 2: Convert to fraction form
    118.45/176.17 = 116.02/x
  3. Step 3: Cross multiply
    118.45x = 176.17 × 116.02
  4. Step 4: Simplify right side
    118.45x = 20,439.24
  5. Step 5: Solve for x
    x = 20,439.24/118.45
  6. Step 6: Final answer
    x = 172.56

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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.