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Finding the Fourth Proportional to 115.56, 160.10 and 112.74

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Solution

The fourth proportional to 115.56, 160.10 and 112.74 is: 156.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.56 : 160.10 = 112.74 : x
  2. Step 2: Convert to fraction form
    115.56/160.10 = 112.74/x
  3. Step 3: Cross multiply
    115.56x = 160.10 × 112.74
  4. Step 4: Simplify right side
    115.56x = 18,050.15
  5. Step 5: Solve for x
    x = 18,050.15/115.56
  6. Step 6: Final answer
    x = 156.20

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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.