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Finding the Fourth Proportional to 103.15, 142.39 and 75.45

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Solution

The fourth proportional to 103.15, 142.39 and 75.45 is: 104.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.15 : 142.39 = 75.45 : x
  2. Step 2: Convert to fraction form
    103.15/142.39 = 75.45/x
  3. Step 3: Cross multiply
    103.15x = 142.39 × 75.45
  4. Step 4: Simplify right side
    103.15x = 10,743.33
  5. Step 5: Solve for x
    x = 10,743.33/103.15
  6. Step 6: Final answer
    x = 104.15

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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.