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Finding the Fourth Proportional to 149.21, 205.85 and 93.92

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Solution

The fourth proportional to 149.21, 205.85 and 93.92 is: 129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.21 : 205.85 = 93.92 : x
  2. Step 2: Convert to fraction form
    149.21/205.85 = 93.92/x
  3. Step 3: Cross multiply
    149.21x = 205.85 × 93.92
  4. Step 4: Simplify right side
    149.21x = 19,332.96
  5. Step 5: Solve for x
    x = 19,332.96/149.21
  6. Step 6: Final answer
    x = 129.57

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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.