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Finding the Fourth Proportional to 101.92, 140.70 and 77.26

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Solution

The fourth proportional to 101.92, 140.70 and 77.26 is: 106.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.92 : 140.70 = 77.26 : x
  2. Step 2: Convert to fraction form
    101.92/140.70 = 77.26/x
  3. Step 3: Cross multiply
    101.92x = 140.70 × 77.26
  4. Step 4: Simplify right side
    101.92x = 10,870.48
  5. Step 5: Solve for x
    x = 10,870.48/101.92
  6. Step 6: Final answer
    x = 106.66

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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.