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Finding the Fourth Proportional to 101.99, 140.78 and 77.49

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Solution

The fourth proportional to 101.99, 140.78 and 77.49 is: 106.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.99 : 140.78 = 77.49 : x
  2. Step 2: Convert to fraction form
    101.99/140.78 = 77.49/x
  3. Step 3: Cross multiply
    101.99x = 140.78 × 77.49
  4. Step 4: Simplify right side
    101.99x = 10,909.24
  5. Step 5: Solve for x
    x = 10,909.24/101.99
  6. Step 6: Final answer
    x = 106.96

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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.