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Finding the Fourth Proportional to 107.91, 149.00 and 86.04

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Solution

The fourth proportional to 107.91, 149.00 and 86.04 is: 118.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.91 : 149.00 = 86.04 : x
  2. Step 2: Convert to fraction form
    107.91/149.00 = 86.04/x
  3. Step 3: Cross multiply
    107.91x = 149.00 × 86.04
  4. Step 4: Simplify right side
    107.91x = 12,819.53
  5. Step 5: Solve for x
    x = 12,819.53/107.91
  6. Step 6: Final answer
    x = 118.80

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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.