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Finding the Fourth Proportional to 155.54, 233.17 and 74.41

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Solution

The fourth proportional to 155.54, 233.17 and 74.41 is: 111.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.54 : 233.17 = 74.41 : x
  2. Step 2: Convert to fraction form
    155.54/233.17 = 74.41/x
  3. Step 3: Cross multiply
    155.54x = 233.17 × 74.41
  4. Step 4: Simplify right side
    155.54x = 17,350.18
  5. Step 5: Solve for x
    x = 17,350.18/155.54
  6. Step 6: Final answer
    x = 111.55

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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.