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Finding the Fourth Proportional to 99.66, 149.50 and 34.70

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Solution

The fourth proportional to 99.66, 149.50 and 34.70 is: 52.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.66 : 149.50 = 34.70 : x
  2. Step 2: Convert to fraction form
    99.66/149.50 = 34.70/x
  3. Step 3: Cross multiply
    99.66x = 149.50 × 34.70
  4. Step 4: Simplify right side
    99.66x = 5,186.75
  5. Step 5: Solve for x
    x = 5,186.75/99.66
  6. Step 6: Final answer
    x = 52.04

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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.