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Finding the Fourth Proportional to 115.56, 160.53 and 114.24

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Solution

The fourth proportional to 115.56, 160.53 and 114.24 is: 158.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.56 : 160.53 = 114.24 : x
  2. Step 2: Convert to fraction form
    115.56/160.53 = 114.24/x
  3. Step 3: Cross multiply
    115.56x = 160.53 × 114.24
  4. Step 4: Simplify right side
    115.56x = 18,338.95
  5. Step 5: Solve for x
    x = 18,338.95/115.56
  6. Step 6: Final answer
    x = 158.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.