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Finding the Fourth Proportional to 115.19, 171.87 and 103.68

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Solution

The fourth proportional to 115.19, 171.87 and 103.68 is: 154.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.19 : 171.87 = 103.68 : x
  2. Step 2: Convert to fraction form
    115.19/171.87 = 103.68/x
  3. Step 3: Cross multiply
    115.19x = 171.87 × 103.68
  4. Step 4: Simplify right side
    115.19x = 17,819.48
  5. Step 5: Solve for x
    x = 17,819.48/115.19
  6. Step 6: Final answer
    x = 154.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.