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Finding the Fourth Proportional to 115.53, 158.20 and 110.94

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Solution

The fourth proportional to 115.53, 158.20 and 110.94 is: 151.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.53 : 158.20 = 110.94 : x
  2. Step 2: Convert to fraction form
    115.53/158.20 = 110.94/x
  3. Step 3: Cross multiply
    115.53x = 158.20 × 110.94
  4. Step 4: Simplify right side
    115.53x = 17,550.71
  5. Step 5: Solve for x
    x = 17,550.71/115.53
  6. Step 6: Final answer
    x = 151.91

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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.