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Finding the Fourth Proportional to 44.01, 65.88 and 31.95

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Solution

The fourth proportional to 44.01, 65.88 and 31.95 is: 47.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    44.01 : 65.88 = 31.95 : x
  2. Step 2: Convert to fraction form
    44.01/65.88 = 31.95/x
  3. Step 3: Cross multiply
    44.01x = 65.88 × 31.95
  4. Step 4: Simplify right side
    44.01x = 2,104.87
  5. Step 5: Solve for x
    x = 2,104.87/44.01
  6. Step 6: Final answer
    x = 47.83

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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.