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Finding the Fourth Proportional to 101.38, 139.92 and 66.42

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Solution

The fourth proportional to 101.38, 139.92 and 66.42 is: 91.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.38 : 139.92 = 66.42 : x
  2. Step 2: Convert to fraction form
    101.38/139.92 = 66.42/x
  3. Step 3: Cross multiply
    101.38x = 139.92 × 66.42
  4. Step 4: Simplify right side
    101.38x = 9,293.49
  5. Step 5: Solve for x
    x = 9,293.49/101.38
  6. Step 6: Final answer
    x = 91.67

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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.