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Finding the Fourth Proportional to 115.80, 158.70 and 115.20

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Solution

The fourth proportional to 115.80, 158.70 and 115.20 is: 157.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.80 : 158.70 = 115.20 : x
  2. Step 2: Convert to fraction form
    115.80/158.70 = 115.20/x
  3. Step 3: Cross multiply
    115.80x = 158.70 × 115.20
  4. Step 4: Simplify right side
    115.80x = 18,282.24
  5. Step 5: Solve for x
    x = 18,282.24/115.80
  6. Step 6: Final answer
    x = 157.88

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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.