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Finding the Fourth Proportional to 99.20, 148.71 and 82.04

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Solution

The fourth proportional to 99.20, 148.71 and 82.04 is: 122.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.20 : 148.71 = 82.04 : x
  2. Step 2: Convert to fraction form
    99.20/148.71 = 82.04/x
  3. Step 3: Cross multiply
    99.20x = 148.71 × 82.04
  4. Step 4: Simplify right side
    99.20x = 12,199.12
  5. Step 5: Solve for x
    x = 12,199.12/99.20
  6. Step 6: Final answer
    x = 122.98

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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.