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Finding the Fourth Proportional to 148.67, 223.03 and 75.58

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Solution

The fourth proportional to 148.67, 223.03 and 75.58 is: 113.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.67 : 223.03 = 75.58 : x
  2. Step 2: Convert to fraction form
    148.67/223.03 = 75.58/x
  3. Step 3: Cross multiply
    148.67x = 223.03 × 75.58
  4. Step 4: Simplify right side
    148.67x = 16,856.61
  5. Step 5: Solve for x
    x = 16,856.61/148.67
  6. Step 6: Final answer
    x = 113.38

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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.