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Finding the Fourth Proportional to 101.67, 152.24 and 84.57

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Solution

The fourth proportional to 101.67, 152.24 and 84.57 is: 126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.67 : 152.24 = 84.57 : x
  2. Step 2: Convert to fraction form
    101.67/152.24 = 84.57/x
  3. Step 3: Cross multiply
    101.67x = 152.24 × 84.57
  4. Step 4: Simplify right side
    101.67x = 12,874.51
  5. Step 5: Solve for x
    x = 12,874.51/101.67
  6. Step 6: Final answer
    x = 126.63

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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.