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Finding the Fourth Proportional to 147.91, 221.72 and 111.30

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Solution

The fourth proportional to 147.91, 221.72 and 111.30 is: 166.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.91 : 221.72 = 111.30 : x
  2. Step 2: Convert to fraction form
    147.91/221.72 = 111.30/x
  3. Step 3: Cross multiply
    147.91x = 221.72 × 111.30
  4. Step 4: Simplify right side
    147.91x = 24,677.44
  5. Step 5: Solve for x
    x = 24,677.44/147.91
  6. Step 6: Final answer
    x = 166.84

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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.