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Finding the Fourth Proportional to 148.08, 221.64 and 111.92

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Solution

The fourth proportional to 148.08, 221.64 and 111.92 is: 167.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.08 : 221.64 = 111.92 : x
  2. Step 2: Convert to fraction form
    148.08/221.64 = 111.92/x
  3. Step 3: Cross multiply
    148.08x = 221.64 × 111.92
  4. Step 4: Simplify right side
    148.08x = 24,805.95
  5. Step 5: Solve for x
    x = 24,805.95/148.08
  6. Step 6: Final answer
    x = 167.52

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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.