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Finding the Fourth Proportional to 120.66, 166.23 and 98.70

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Solution

The fourth proportional to 120.66, 166.23 and 98.70 is: 135.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.66 : 166.23 = 98.70 : x
  2. Step 2: Convert to fraction form
    120.66/166.23 = 98.70/x
  3. Step 3: Cross multiply
    120.66x = 166.23 × 98.70
  4. Step 4: Simplify right side
    120.66x = 16,406.90
  5. Step 5: Solve for x
    x = 16,406.90/120.66
  6. Step 6: Final answer
    x = 135.98

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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.