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Finding the Fourth Proportional to 155.85, 233.67 and 74.76

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Solution

The fourth proportional to 155.85, 233.67 and 74.76 is: 112.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.85 : 233.67 = 74.76 : x
  2. Step 2: Convert to fraction form
    155.85/233.67 = 74.76/x
  3. Step 3: Cross multiply
    155.85x = 233.67 × 74.76
  4. Step 4: Simplify right side
    155.85x = 17,469.17
  5. Step 5: Solve for x
    x = 17,469.17/155.85
  6. Step 6: Final answer
    x = 112.09

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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.