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Finding the Fourth Proportional to 112.40, 169.50 and 99.60

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Solution

The fourth proportional to 112.40, 169.50 and 99.60 is: 150.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.40 : 169.50 = 99.60 : x
  2. Step 2: Convert to fraction form
    112.40/169.50 = 99.60/x
  3. Step 3: Cross multiply
    112.40x = 169.50 × 99.60
  4. Step 4: Simplify right side
    112.40x = 16,882.20
  5. Step 5: Solve for x
    x = 16,882.20/112.40
  6. Step 6: Final answer
    x = 150.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.