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Finding the Fourth Proportional to 153.87, 230.77 and 51.13

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Solution

The fourth proportional to 153.87, 230.77 and 51.13 is: 76.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.87 : 230.77 = 51.13 : x
  2. Step 2: Convert to fraction form
    153.87/230.77 = 51.13/x
  3. Step 3: Cross multiply
    153.87x = 230.77 × 51.13
  4. Step 4: Simplify right side
    153.87x = 11,799.27
  5. Step 5: Solve for x
    x = 11,799.27/153.87
  6. Step 6: Final answer
    x = 76.68

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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.