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Finding the Fourth Proportional to 102.92, 154.31 and 57.29

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Solution

The fourth proportional to 102.92, 154.31 and 57.29 is: 85.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.92 : 154.31 = 57.29 : x
  2. Step 2: Convert to fraction form
    102.92/154.31 = 57.29/x
  3. Step 3: Cross multiply
    102.92x = 154.31 × 57.29
  4. Step 4: Simplify right side
    102.92x = 8,839.36
  5. Step 5: Solve for x
    x = 8,839.36/102.92
  6. Step 6: Final answer
    x = 85.89

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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.