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Finding the Fourth Proportional to 115.08, 159.66 and 112.32

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Solution

The fourth proportional to 115.08, 159.66 and 112.32 is: 155.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.08 : 159.66 = 112.32 : x
  2. Step 2: Convert to fraction form
    115.08/159.66 = 112.32/x
  3. Step 3: Cross multiply
    115.08x = 159.66 × 112.32
  4. Step 4: Simplify right side
    115.08x = 17,933.01
  5. Step 5: Solve for x
    x = 17,933.01/115.08
  6. Step 6: Final answer
    x = 155.83

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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.