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Finding the Fourth Proportional to 120.37, 166 and 101.93

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Solution

The fourth proportional to 120.37, 166 and 101.93 is: 140.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.37 : 166 = 101.93 : x
  2. Step 2: Convert to fraction form
    120.37/166 = 101.93/x
  3. Step 3: Cross multiply
    120.37x = 166 × 101.93
  4. Step 4: Simplify right side
    120.37x = 16,920.38
  5. Step 5: Solve for x
    x = 16,920.38/120.37
  6. Step 6: Final answer
    x = 140.57

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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.