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Finding the Fourth Proportional to 166.14, 229.38 and 110.19

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Solution

The fourth proportional to 166.14, 229.38 and 110.19 is: 152.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.14 : 229.38 = 110.19 : x
  2. Step 2: Convert to fraction form
    166.14/229.38 = 110.19/x
  3. Step 3: Cross multiply
    166.14x = 229.38 × 110.19
  4. Step 4: Simplify right side
    166.14x = 25,275.38
  5. Step 5: Solve for x
    x = 25,275.38/166.14
  6. Step 6: Final answer
    x = 152.13

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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.