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Finding the Fourth Proportional to 107.74, 148.17 and 85.87

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Solution

The fourth proportional to 107.74, 148.17 and 85.87 is: 118.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    107.74 : 148.17 = 85.87 : x
  2. Step 2: Convert to fraction form
    107.74/148.17 = 85.87/x
  3. Step 3: Cross multiply
    107.74x = 148.17 × 85.87
  4. Step 4: Simplify right side
    107.74x = 12,723.36
  5. Step 5: Solve for x
    x = 12,723.36/107.74
  6. Step 6: Final answer
    x = 118.09

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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.