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Finding the Fourth Proportional to 167.71, 251.72 and 90.74

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Solution

The fourth proportional to 167.71, 251.72 and 90.74 is: 136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.71 : 251.72 = 90.74 : x
  2. Step 2: Convert to fraction form
    167.71/251.72 = 90.74/x
  3. Step 3: Cross multiply
    167.71x = 251.72 × 90.74
  4. Step 4: Simplify right side
    167.71x = 22,841.07
  5. Step 5: Solve for x
    x = 22,841.07/167.71
  6. Step 6: Final answer
    x = 136.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.