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Finding the Fourth Proportional to 105.02, 144.88 and 77.40

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Solution

The fourth proportional to 105.02, 144.88 and 77.40 is: 106.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.02 : 144.88 = 77.40 : x
  2. Step 2: Convert to fraction form
    105.02/144.88 = 77.40/x
  3. Step 3: Cross multiply
    105.02x = 144.88 × 77.40
  4. Step 4: Simplify right side
    105.02x = 11,213.71
  5. Step 5: Solve for x
    x = 11,213.71/105.02
  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.