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Finding the Fourth Proportional to 148.87, 223.37 and 94.87

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Solution

The fourth proportional to 148.87, 223.37 and 94.87 is: 142.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.87 : 223.37 = 94.87 : x
  2. Step 2: Convert to fraction form
    148.87/223.37 = 94.87/x
  3. Step 3: Cross multiply
    148.87x = 223.37 × 94.87
  4. Step 4: Simplify right side
    148.87x = 21,189.52
  5. Step 5: Solve for x
    x = 21,189.52/148.87
  6. Step 6: Final answer
    x = 142.34

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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.