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Finding the Fourth Proportional to 149.69, 206.67 and 100.55

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Solution

The fourth proportional to 149.69, 206.67 and 100.55 is: 138.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.69 : 206.67 = 100.55 : x
  2. Step 2: Convert to fraction form
    149.69/206.67 = 100.55/x
  3. Step 3: Cross multiply
    149.69x = 206.67 × 100.55
  4. Step 4: Simplify right side
    149.69x = 20,779.64
  5. Step 5: Solve for x
    x = 20,779.64/149.69
  6. Step 6: Final answer
    x = 138.82

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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.