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Finding the Fourth Proportional to 154.54, 232.30 and 86.20

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Solution

The fourth proportional to 154.54, 232.30 and 86.20 is: 129.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.54 : 232.30 = 86.20 : x
  2. Step 2: Convert to fraction form
    154.54/232.30 = 86.20/x
  3. Step 3: Cross multiply
    154.54x = 232.30 × 86.20
  4. Step 4: Simplify right side
    154.54x = 20,023.79
  5. Step 5: Solve for x
    x = 20,023.79/154.54
  6. Step 6: Final answer
    x = 129.57

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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.