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Finding the Fourth Proportional to 153.20, 229.70 and 109.87

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Solution

The fourth proportional to 153.20, 229.70 and 109.87 is: 164.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.20 : 229.70 = 109.87 : x
  2. Step 2: Convert to fraction form
    153.20/229.70 = 109.87/x
  3. Step 3: Cross multiply
    153.20x = 229.70 × 109.87
  4. Step 4: Simplify right side
    153.20x = 25,236.84
  5. Step 5: Solve for x
    x = 25,236.84/153.20
  6. Step 6: Final answer
    x = 164.73

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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.