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Finding the Fourth Proportional to 103.10, 154.31 and 57.33

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Solution

The fourth proportional to 103.10, 154.31 and 57.33 is: 85.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.10 : 154.31 = 57.33 : x
  2. Step 2: Convert to fraction form
    103.10/154.31 = 57.33/x
  3. Step 3: Cross multiply
    103.10x = 154.31 × 57.33
  4. Step 4: Simplify right side
    103.10x = 8,846.31
  5. Step 5: Solve for x
    x = 8,846.31/103.10
  6. Step 6: Final answer
    x = 85.81

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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.