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Finding the Fourth Proportional to 154.75, 232.65 and 109.29

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Solution

The fourth proportional to 154.75, 232.65 and 109.29 is: 164.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.75 : 232.65 = 109.29 : x
  2. Step 2: Convert to fraction form
    154.75/232.65 = 109.29/x
  3. Step 3: Cross multiply
    154.75x = 232.65 × 109.29
  4. Step 4: Simplify right side
    154.75x = 25,426.32
  5. Step 5: Solve for x
    x = 25,426.32/154.75
  6. Step 6: Final answer
    x = 164.31

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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.