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Finding the Fourth Proportional to 103.28, 142.49 and 70.55

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Solution

The fourth proportional to 103.28, 142.49 and 70.55 is: 97.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.28 : 142.49 = 70.55 : x
  2. Step 2: Convert to fraction form
    103.28/142.49 = 70.55/x
  3. Step 3: Cross multiply
    103.28x = 142.49 × 70.55
  4. Step 4: Simplify right side
    103.28x = 10,052.67
  5. Step 5: Solve for x
    x = 10,052.67/103.28
  6. Step 6: Final answer
    x = 97.33

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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.