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Finding the Fourth Proportional to 103, 142.11 and 65.68

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Solution

The fourth proportional to 103, 142.11 and 65.68 is: 90.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    103 : 142.11 = 65.68 : x
  2. Step 2: Convert to fraction form
    103/142.11 = 65.68/x
  3. Step 3: Cross multiply
    103x = 142.11 × 65.68
  4. Step 4: Simplify right side
    103x = 9,333.78
  5. Step 5: Solve for x
    x = 9,333.78/103
  6. Step 6: Final answer
    x = 90.62

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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.