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Finding the Fourth Proportional to 102.85, 154.37 and 57.23

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Solution

The fourth proportional to 102.85, 154.37 and 57.23 is: 85.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.85 : 154.37 = 57.23 : x
  2. Step 2: Convert to fraction form
    102.85/154.37 = 57.23/x
  3. Step 3: Cross multiply
    102.85x = 154.37 × 57.23
  4. Step 4: Simplify right side
    102.85x = 8,834.69
  5. Step 5: Solve for x
    x = 8,834.69/102.85
  6. Step 6: Final answer
    x = 85.90

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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.