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Finding the Fourth Proportional to 149.69, 206.57 and 90.68

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Solution

The fourth proportional to 149.69, 206.57 and 90.68 is: 125.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149.69 : 206.57 = 90.68 : x
  2. Step 2: Convert to fraction form
    149.69/206.57 = 90.68/x
  3. Step 3: Cross multiply
    149.69x = 206.57 × 90.68
  4. Step 4: Simplify right side
    149.69x = 18,731.05
  5. Step 5: Solve for x
    x = 18,731.05/149.69
  6. Step 6: Final answer
    x = 125.13

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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.