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Finding the Fourth Proportional to 76.90, 106.11 and 44.15

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Solution

The fourth proportional to 76.90, 106.11 and 44.15 is: 60.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.90 : 106.11 = 44.15 : x
  2. Step 2: Convert to fraction form
    76.90/106.11 = 44.15/x
  3. Step 3: Cross multiply
    76.90x = 106.11 × 44.15
  4. Step 4: Simplify right side
    76.90x = 4,684.23
  5. Step 5: Solve for x
    x = 4,684.23/76.90
  6. Step 6: Final answer
    x = 60.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.