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Finding the Fourth Proportional to 153.92, 230.96 and 81.77

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Solution

The fourth proportional to 153.92, 230.96 and 81.77 is: 122.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.92 : 230.96 = 81.77 : x
  2. Step 2: Convert to fraction form
    153.92/230.96 = 81.77/x
  3. Step 3: Cross multiply
    153.92x = 230.96 × 81.77
  4. Step 4: Simplify right side
    153.92x = 18,886.07
  5. Step 5: Solve for x
    x = 18,886.07/153.92
  6. Step 6: Final answer
    x = 122.70

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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.