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Finding the Fourth Proportional to 77.76, 107.19 and 53.12

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Solution

The fourth proportional to 77.76, 107.19 and 53.12 is: 73.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.76 : 107.19 = 53.12 : x
  2. Step 2: Convert to fraction form
    77.76/107.19 = 53.12/x
  3. Step 3: Cross multiply
    77.76x = 107.19 × 53.12
  4. Step 4: Simplify right side
    77.76x = 5,694.20
  5. Step 5: Solve for x
    x = 5,694.20/77.76
  6. Step 6: Final answer
    x = 73.23

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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.