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Finding the Fourth Proportional to 164.89, 227.59 and 112.59

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Solution

The fourth proportional to 164.89, 227.59 and 112.59 is: 155.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.89 : 227.59 = 112.59 : x
  2. Step 2: Convert to fraction form
    164.89/227.59 = 112.59/x
  3. Step 3: Cross multiply
    164.89x = 227.59 × 112.59
  4. Step 4: Simplify right side
    164.89x = 25,624.71
  5. Step 5: Solve for x
    x = 25,624.71/164.89
  6. Step 6: Final answer
    x = 155.41

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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.