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Finding the Fourth Proportional to 166.65, 230.03 and 101.13

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Solution

The fourth proportional to 166.65, 230.03 and 101.13 is: 139.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.65 : 230.03 = 101.13 : x
  2. Step 2: Convert to fraction form
    166.65/230.03 = 101.13/x
  3. Step 3: Cross multiply
    166.65x = 230.03 × 101.13
  4. Step 4: Simplify right side
    166.65x = 23,262.93
  5. Step 5: Solve for x
    x = 23,262.93/166.65
  6. Step 6: Final answer
    x = 139.59

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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.