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Finding the Fourth Proportional to 115.49, 158.30 and 115.29

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Solution

The fourth proportional to 115.49, 158.30 and 115.29 is: 158.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.49 : 158.30 = 115.29 : x
  2. Step 2: Convert to fraction form
    115.49/158.30 = 115.29/x
  3. Step 3: Cross multiply
    115.49x = 158.30 × 115.29
  4. Step 4: Simplify right side
    115.49x = 18,250.24
  5. Step 5: Solve for x
    x = 18,250.24/115.49
  6. Step 6: Final answer
    x = 158.03

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.