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Finding the Fourth Proportional to 166.93, 230.19 and 101.42

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Solution

The fourth proportional to 166.93, 230.19 and 101.42 is: 139.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.93 : 230.19 = 101.42 : x
  2. Step 2: Convert to fraction form
    166.93/230.19 = 101.42/x
  3. Step 3: Cross multiply
    166.93x = 230.19 × 101.42
  4. Step 4: Simplify right side
    166.93x = 23,345.77
  5. Step 5: Solve for x
    x = 23,345.77/166.93
  6. Step 6: Final answer
    x = 139.86

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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.