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Finding the Fourth Proportional to 166.90, 230.32 and 101.46

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Solution

The fourth proportional to 166.90, 230.32 and 101.46 is: 140.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.90 : 230.32 = 101.46 : x
  2. Step 2: Convert to fraction form
    166.90/230.32 = 101.46/x
  3. Step 3: Cross multiply
    166.90x = 230.32 × 101.46
  4. Step 4: Simplify right side
    166.90x = 23,368.27
  5. Step 5: Solve for x
    x = 23,368.27/166.90
  6. Step 6: Final answer
    x = 140.01

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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.