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Finding the Fourth Proportional to 103.28, 142.56 and 73.76

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Solution

The fourth proportional to 103.28, 142.56 and 73.76 is: 101.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.28 : 142.56 = 73.76 : x
  2. Step 2: Convert to fraction form
    103.28/142.56 = 73.76/x
  3. Step 3: Cross multiply
    103.28x = 142.56 × 73.76
  4. Step 4: Simplify right side
    103.28x = 10,515.23
  5. Step 5: Solve for x
    x = 10,515.23/103.28
  6. Step 6: Final answer
    x = 101.81

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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.