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Finding the Fourth Proportional to 102.44, 141.22 and 76.52

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Solution

The fourth proportional to 102.44, 141.22 and 76.52 is: 105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.44 : 141.22 = 76.52 : x
  2. Step 2: Convert to fraction form
    102.44/141.22 = 76.52/x
  3. Step 3: Cross multiply
    102.44x = 141.22 × 76.52
  4. Step 4: Simplify right side
    102.44x = 10,806.15
  5. Step 5: Solve for x
    x = 10,806.15/102.44
  6. Step 6: Final answer
    x = 105.49

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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.