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Finding the Fourth Proportional to 149.62, 206.35 and 90.54

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Solution

The fourth proportional to 149.62, 206.35 and 90.54 is: 124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.62 : 206.35 = 90.54 : x
  2. Step 2: Convert to fraction form
    149.62/206.35 = 90.54/x
  3. Step 3: Cross multiply
    149.62x = 206.35 × 90.54
  4. Step 4: Simplify right side
    149.62x = 18,682.93
  5. Step 5: Solve for x
    x = 18,682.93/149.62
  6. Step 6: Final answer
    x = 124.87

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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.