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Finding the Fourth Proportional to 83.77, 125.60 and 29.65

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Solution

The fourth proportional to 83.77, 125.60 and 29.65 is: 44.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.77 : 125.60 = 29.65 : x
  2. Step 2: Convert to fraction form
    83.77/125.60 = 29.65/x
  3. Step 3: Cross multiply
    83.77x = 125.60 × 29.65
  4. Step 4: Simplify right side
    83.77x = 3,723.98
  5. Step 5: Solve for x
    x = 3,723.98/83.77
  6. Step 6: Final answer
    x = 44.46

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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.