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Finding the Fourth Proportional to 148.04, 220.96 and 111.80

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Solution

The fourth proportional to 148.04, 220.96 and 111.80 is: 166.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    148.04 : 220.96 = 111.80 : x
  2. Step 2: Convert to fraction form
    148.04/220.96 = 111.80/x
  3. Step 3: Cross multiply
    148.04x = 220.96 × 111.80
  4. Step 4: Simplify right side
    148.04x = 24,703.33
  5. Step 5: Solve for x
    x = 24,703.33/148.04
  6. Step 6: Final answer
    x = 166.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.