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Finding the Fourth Proportional to 101.98, 140.51 and 77.50

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Solution

The fourth proportional to 101.98, 140.51 and 77.50 is: 106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.98 : 140.51 = 77.50 : x
  2. Step 2: Convert to fraction form
    101.98/140.51 = 77.50/x
  3. Step 3: Cross multiply
    101.98x = 140.51 × 77.50
  4. Step 4: Simplify right side
    101.98x = 10,889.53
  5. Step 5: Solve for x
    x = 10,889.53/101.98
  6. Step 6: Final answer
    x = 106.78

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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.