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Finding the Fourth Proportional to 170.24, 234.89 and 100.31

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Solution

The fourth proportional to 170.24, 234.89 and 100.31 is: 138.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    170.24 : 234.89 = 100.31 : x
  2. Step 2: Convert to fraction form
    170.24/234.89 = 100.31/x
  3. Step 3: Cross multiply
    170.24x = 234.89 × 100.31
  4. Step 4: Simplify right side
    170.24x = 23,560.52
  5. Step 5: Solve for x
    x = 23,560.52/170.24
  6. Step 6: Final answer
    x = 138.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.