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Finding the Fourth Proportional to 118.40, 176.80 and 115.20

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Solution

The fourth proportional to 118.40, 176.80 and 115.20 is: 172.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.40 : 176.80 = 115.20 : x
  2. Step 2: Convert to fraction form
    118.40/176.80 = 115.20/x
  3. Step 3: Cross multiply
    118.40x = 176.80 × 115.20
  4. Step 4: Simplify right side
    118.40x = 20,367.36
  5. Step 5: Solve for x
    x = 20,367.36/118.40
  6. Step 6: Final answer
    x = 172.02

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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.