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Finding the Fourth Proportional to 44.12, 65.85 and 38.76

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Solution

The fourth proportional to 44.12, 65.85 and 38.76 is: 57.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.12 : 65.85 = 38.76 : x
  2. Step 2: Convert to fraction form
    44.12/65.85 = 38.76/x
  3. Step 3: Cross multiply
    44.12x = 65.85 × 38.76
  4. Step 4: Simplify right side
    44.12x = 2,552.35
  5. Step 5: Solve for x
    x = 2,552.35/44.12
  6. Step 6: Final answer
    x = 57.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.