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Finding the Fourth Proportional to 155.07, 232.38 and 114.39

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Solution

The fourth proportional to 155.07, 232.38 and 114.39 is: 171.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.07 : 232.38 = 114.39 : x
  2. Step 2: Convert to fraction form
    155.07/232.38 = 114.39/x
  3. Step 3: Cross multiply
    155.07x = 232.38 × 114.39
  4. Step 4: Simplify right side
    155.07x = 26,581.95
  5. Step 5: Solve for x
    x = 26,581.95/155.07
  6. Step 6: Final answer
    x = 171.42

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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.