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Finding the Fourth Proportional to 77.09, 106.35 and 53.79

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Solution

The fourth proportional to 77.09, 106.35 and 53.79 is: 74.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.09 : 106.35 = 53.79 : x
  2. Step 2: Convert to fraction form
    77.09/106.35 = 53.79/x
  3. Step 3: Cross multiply
    77.09x = 106.35 × 53.79
  4. Step 4: Simplify right side
    77.09x = 5,720.57
  5. Step 5: Solve for x
    x = 5,720.57/77.09
  6. Step 6: Final answer
    x = 74.21

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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.