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Finding the Fourth Proportional to 164.58, 227.10 and 112.02

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Solution

The fourth proportional to 164.58, 227.10 and 112.02 is: 154.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.58 : 227.10 = 112.02 : x
  2. Step 2: Convert to fraction form
    164.58/227.10 = 112.02/x
  3. Step 3: Cross multiply
    164.58x = 227.10 × 112.02
  4. Step 4: Simplify right side
    164.58x = 25,439.74
  5. Step 5: Solve for x
    x = 25,439.74/164.58
  6. Step 6: Final answer
    x = 154.57

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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.