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Finding the Fourth Proportional to 149.39, 205.84 and 99.52

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Solution

The fourth proportional to 149.39, 205.84 and 99.52 is: 137.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.39 : 205.84 = 99.52 : x
  2. Step 2: Convert to fraction form
    149.39/205.84 = 99.52/x
  3. Step 3: Cross multiply
    149.39x = 205.84 × 99.52
  4. Step 4: Simplify right side
    149.39x = 20,484.43
  5. Step 5: Solve for x
    x = 20,484.43/149.39
  6. Step 6: Final answer
    x = 137.12

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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.