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Finding the Fourth Proportional to 115.05, 158.69 and 78.14

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Solution

The fourth proportional to 115.05, 158.69 and 78.14 is: 107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.05 : 158.69 = 78.14 : x
  2. Step 2: Convert to fraction form
    115.05/158.69 = 78.14/x
  3. Step 3: Cross multiply
    115.05x = 158.69 × 78.14
  4. Step 4: Simplify right side
    115.05x = 12,398.85
  5. Step 5: Solve for x
    x = 12,398.85/115.05
  6. Step 6: Final answer
    x = 107.77

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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.