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Finding the Fourth Proportional to 149.03, 205.64 and 86.87

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Solution

The fourth proportional to 149.03, 205.64 and 86.87 is: 119.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.03 : 205.64 = 86.87 : x
  2. Step 2: Convert to fraction form
    149.03/205.64 = 86.87/x
  3. Step 3: Cross multiply
    149.03x = 205.64 × 86.87
  4. Step 4: Simplify right side
    149.03x = 17,863.52
  5. Step 5: Solve for x
    x = 17,863.52/149.03
  6. Step 6: Final answer
    x = 119.86

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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.