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Finding the Fourth Proportional to 149.76, 206.82 and 100.83

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Solution

The fourth proportional to 149.76, 206.82 and 100.83 is: 139.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.76 : 206.82 = 100.83 : x
  2. Step 2: Convert to fraction form
    149.76/206.82 = 100.83/x
  3. Step 3: Cross multiply
    149.76x = 206.82 × 100.83
  4. Step 4: Simplify right side
    149.76x = 20,853.66
  5. Step 5: Solve for x
    x = 20,853.66/149.76
  6. Step 6: Final answer
    x = 139.25

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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.