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Finding the Fourth Proportional to 143.21, 197.56 and 101.66

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Solution

The fourth proportional to 143.21, 197.56 and 101.66 is: 140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.21 : 197.56 = 101.66 : x
  2. Step 2: Convert to fraction form
    143.21/197.56 = 101.66/x
  3. Step 3: Cross multiply
    143.21x = 197.56 × 101.66
  4. Step 4: Simplify right side
    143.21x = 20,083.95
  5. Step 5: Solve for x
    x = 20,083.95/143.21
  6. Step 6: Final answer
    x = 140.24

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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.