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Finding the Fourth Proportional to 155.90, 233.76 and 74.78

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Solution

The fourth proportional to 155.90, 233.76 and 74.78 is: 112.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.90 : 233.76 = 74.78 : x
  2. Step 2: Convert to fraction form
    155.90/233.76 = 74.78/x
  3. Step 3: Cross multiply
    155.90x = 233.76 × 74.78
  4. Step 4: Simplify right side
    155.90x = 17,480.57
  5. Step 5: Solve for x
    x = 17,480.57/155.90
  6. Step 6: Final answer
    x = 112.13

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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.