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Finding the Fourth Proportional to 103.10, 142.23 and 61.65

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Solution

The fourth proportional to 103.10, 142.23 and 61.65 is: 85.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.10 : 142.23 = 61.65 : x
  2. Step 2: Convert to fraction form
    103.10/142.23 = 61.65/x
  3. Step 3: Cross multiply
    103.10x = 142.23 × 61.65
  4. Step 4: Simplify right side
    103.10x = 8,768.48
  5. Step 5: Solve for x
    x = 8,768.48/103.10
  6. Step 6: Final answer
    x = 85.05

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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.