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Finding the Fourth Proportional to 153.87, 229.92 and 110.34

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Solution

The fourth proportional to 153.87, 229.92 and 110.34 is: 164.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.87 : 229.92 = 110.34 : x
  2. Step 2: Convert to fraction form
    153.87/229.92 = 110.34/x
  3. Step 3: Cross multiply
    153.87x = 229.92 × 110.34
  4. Step 4: Simplify right side
    153.87x = 25,369.37
  5. Step 5: Solve for x
    x = 25,369.37/153.87
  6. Step 6: Final answer
    x = 164.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.