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Finding the Fourth Proportional to 165.12, 227.64 and 112.56

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Solution

The fourth proportional to 165.12, 227.64 and 112.56 is: 155.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.12 : 227.64 = 112.56 : x
  2. Step 2: Convert to fraction form
    165.12/227.64 = 112.56/x
  3. Step 3: Cross multiply
    165.12x = 227.64 × 112.56
  4. Step 4: Simplify right side
    165.12x = 25,623.16
  5. Step 5: Solve for x
    x = 25,623.16/165.12
  6. Step 6: Final answer
    x = 155.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.