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Finding the Fourth Proportional to 103.45, 142.69 and 61.97

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Solution

The fourth proportional to 103.45, 142.69 and 61.97 is: 85.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.45 : 142.69 = 61.97 : x
  2. Step 2: Convert to fraction form
    103.45/142.69 = 61.97/x
  3. Step 3: Cross multiply
    103.45x = 142.69 × 61.97
  4. Step 4: Simplify right side
    103.45x = 8,842.19
  5. Step 5: Solve for x
    x = 8,842.19/103.45
  6. Step 6: Final answer
    x = 85.48

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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.