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Finding the Fourth Proportional to 99.90, 149.82 and 51.78

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Solution

The fourth proportional to 99.90, 149.82 and 51.78 is: 77.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.90 : 149.82 = 51.78 : x
  2. Step 2: Convert to fraction form
    99.90/149.82 = 51.78/x
  3. Step 3: Cross multiply
    99.90x = 149.82 × 51.78
  4. Step 4: Simplify right side
    99.90x = 7,757.68
  5. Step 5: Solve for x
    x = 7,757.68/99.90
  6. Step 6: Final answer
    x = 77.65

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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.