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Finding the Fourth Proportional to 71.95, 107.91 and 44.86

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Solution

The fourth proportional to 71.95, 107.91 and 44.86 is: 67.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.95 : 107.91 = 44.86 : x
  2. Step 2: Convert to fraction form
    71.95/107.91 = 44.86/x
  3. Step 3: Cross multiply
    71.95x = 107.91 × 44.86
  4. Step 4: Simplify right side
    71.95x = 4,840.84
  5. Step 5: Solve for x
    x = 4,840.84/71.95
  6. Step 6: Final answer
    x = 67.28

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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.