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Finding the Fourth Proportional to 152.20, 209.96 and 99.83

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Solution

The fourth proportional to 152.20, 209.96 and 99.83 is: 137.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.20 : 209.96 = 99.83 : x
  2. Step 2: Convert to fraction form
    152.20/209.96 = 99.83/x
  3. Step 3: Cross multiply
    152.20x = 209.96 × 99.83
  4. Step 4: Simplify right side
    152.20x = 20,961.08
  5. Step 5: Solve for x
    x = 20,961.08/152.20
  6. Step 6: Final answer
    x = 137.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.