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Finding the Fourth Proportional to 152.42, 227.72 and 113.20

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Solution

The fourth proportional to 152.42, 227.72 and 113.20 is: 169.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.42 : 227.72 = 113.20 : x
  2. Step 2: Convert to fraction form
    152.42/227.72 = 113.20/x
  3. Step 3: Cross multiply
    152.42x = 227.72 × 113.20
  4. Step 4: Simplify right side
    152.42x = 25,777.90
  5. Step 5: Solve for x
    x = 25,777.90/152.42
  6. Step 6: Final answer
    x = 169.12

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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.