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Finding the Fourth Proportional to 105.14, 144.90 and 77.45

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Solution

The fourth proportional to 105.14, 144.90 and 77.45 is: 106.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.14 : 144.90 = 77.45 : x
  2. Step 2: Convert to fraction form
    105.14/144.90 = 77.45/x
  3. Step 3: Cross multiply
    105.14x = 144.90 × 77.45
  4. Step 4: Simplify right side
    105.14x = 11,221.78
  5. Step 5: Solve for x
    x = 11,221.78/105.14
  6. Step 6: Final answer
    x = 106.74

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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.