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Finding the Fourth Proportional to 155.47, 232.86 and 112.01

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Solution

The fourth proportional to 155.47, 232.86 and 112.01 is: 167.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.47 : 232.86 = 112.01 : x
  2. Step 2: Convert to fraction form
    155.47/232.86 = 112.01/x
  3. Step 3: Cross multiply
    155.47x = 232.86 × 112.01
  4. Step 4: Simplify right side
    155.47x = 26,081.20
  5. Step 5: Solve for x
    x = 26,081.20/155.47
  6. Step 6: Final answer
    x = 167.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.