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Finding the Fourth Proportional to 115.08, 158.76 and 82.32

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Solution

The fourth proportional to 115.08, 158.76 and 82.32 is: 113.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.08 : 158.76 = 82.32 : x
  2. Step 2: Convert to fraction form
    115.08/158.76 = 82.32/x
  3. Step 3: Cross multiply
    115.08x = 158.76 × 82.32
  4. Step 4: Simplify right side
    115.08x = 13,069.12
  5. Step 5: Solve for x
    x = 13,069.12/115.08
  6. Step 6: Final answer
    x = 113.57

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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.