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Finding the Fourth Proportional to 164.81, 227.59 and 106.69

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Solution

The fourth proportional to 164.81, 227.59 and 106.69 is: 147.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.81 : 227.59 = 106.69 : x
  2. Step 2: Convert to fraction form
    164.81/227.59 = 106.69/x
  3. Step 3: Cross multiply
    164.81x = 227.59 × 106.69
  4. Step 4: Simplify right side
    164.81x = 24,281.58
  5. Step 5: Solve for x
    x = 24,281.58/164.81
  6. Step 6: Final answer
    x = 147.33

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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.