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Finding the Fourth Proportional to 115.18, 158.87 and 75.84

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Solution

The fourth proportional to 115.18, 158.87 and 75.84 is: 104.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.18 : 158.87 = 75.84 : x
  2. Step 2: Convert to fraction form
    115.18/158.87 = 75.84/x
  3. Step 3: Cross multiply
    115.18x = 158.87 × 75.84
  4. Step 4: Simplify right side
    115.18x = 12,048.32
  5. Step 5: Solve for x
    x = 12,048.32/115.18
  6. Step 6: Final answer
    x = 104.61

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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.