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Finding the Fourth Proportional to 115.12, 158.84 and 82.38

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Solution

The fourth proportional to 115.12, 158.84 and 82.38 is: 113.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.12 : 158.84 = 82.38 : x
  2. Step 2: Convert to fraction form
    115.12/158.84 = 82.38/x
  3. Step 3: Cross multiply
    115.12x = 158.84 × 82.38
  4. Step 4: Simplify right side
    115.12x = 13,085.24
  5. Step 5: Solve for x
    x = 13,085.24/115.12
  6. Step 6: Final answer
    x = 113.67

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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.