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Finding the Fourth Proportional to 147.56, 221.16 and 75.20

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Solution

The fourth proportional to 147.56, 221.16 and 75.20 is: 112.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.56 : 221.16 = 75.20 : x
  2. Step 2: Convert to fraction form
    147.56/221.16 = 75.20/x
  3. Step 3: Cross multiply
    147.56x = 221.16 × 75.20
  4. Step 4: Simplify right side
    147.56x = 16,631.23
  5. Step 5: Solve for x
    x = 16,631.23/147.56
  6. Step 6: Final answer
    x = 112.71

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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.