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Finding the Fourth Proportional to 103.65, 143.28 and 83.13

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Solution

The fourth proportional to 103.65, 143.28 and 83.13 is: 114.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.65 : 143.28 = 83.13 : x
  2. Step 2: Convert to fraction form
    103.65/143.28 = 83.13/x
  3. Step 3: Cross multiply
    103.65x = 143.28 × 83.13
  4. Step 4: Simplify right side
    103.65x = 11,910.87
  5. Step 5: Solve for x
    x = 11,910.87/103.65
  6. Step 6: Final answer
    x = 114.91

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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.