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Finding the Fourth Proportional to 148.88, 223.12 and 76.68

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Solution

The fourth proportional to 148.88, 223.12 and 76.68 is: 114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.88 : 223.12 = 76.68 : x
  2. Step 2: Convert to fraction form
    148.88/223.12 = 76.68/x
  3. Step 3: Cross multiply
    148.88x = 223.12 × 76.68
  4. Step 4: Simplify right side
    148.88x = 17,108.84
  5. Step 5: Solve for x
    x = 17,108.84/148.88
  6. Step 6: Final answer
    x = 114.92

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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.