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Finding the Fourth Proportional to 99.91, 149.77 and 45.73

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Solution

The fourth proportional to 99.91, 149.77 and 45.73 is: 68.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    99.91 : 149.77 = 45.73 : x
  2. Step 2: Convert to fraction form
    99.91/149.77 = 45.73/x
  3. Step 3: Cross multiply
    99.91x = 149.77 × 45.73
  4. Step 4: Simplify right side
    99.91x = 6,848.98
  5. Step 5: Solve for x
    x = 6,848.98/99.91
  6. Step 6: Final answer
    x = 68.55

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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.