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Finding the Fourth Proportional to 103.76, 142.96 and 76.08

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Solution

The fourth proportional to 103.76, 142.96 and 76.08 is: 104.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.76 : 142.96 = 76.08 : x
  2. Step 2: Convert to fraction form
    103.76/142.96 = 76.08/x
  3. Step 3: Cross multiply
    103.76x = 142.96 × 76.08
  4. Step 4: Simplify right side
    103.76x = 10,876.40
  5. Step 5: Solve for x
    x = 10,876.40/103.76
  6. Step 6: Final answer
    x = 104.82

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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.