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Finding the Fourth Proportional to 99.85, 149.57 and 51.66

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Solution

The fourth proportional to 99.85, 149.57 and 51.66 is: 77.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.85 : 149.57 = 51.66 : x
  2. Step 2: Convert to fraction form
    99.85/149.57 = 51.66/x
  3. Step 3: Cross multiply
    99.85x = 149.57 × 51.66
  4. Step 4: Simplify right side
    99.85x = 7,726.45
  5. Step 5: Solve for x
    x = 7,726.45/99.85
  6. Step 6: Final answer
    x = 77.38

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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.