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Finding the Fourth Proportional to 155.54, 232.49 and 116.66

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Solution

The fourth proportional to 155.54, 232.49 and 116.66 is: 174.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.54 : 232.49 = 116.66 : x
  2. Step 2: Convert to fraction form
    155.54/232.49 = 116.66/x
  3. Step 3: Cross multiply
    155.54x = 232.49 × 116.66
  4. Step 4: Simplify right side
    155.54x = 27,122.28
  5. Step 5: Solve for x
    x = 27,122.28/155.54
  6. Step 6: Final answer
    x = 174.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.