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Finding the Fourth Proportional to 69.77, 96.22 and 54.20

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Solution

The fourth proportional to 69.77, 96.22 and 54.20 is: 74.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.77 : 96.22 = 54.20 : x
  2. Step 2: Convert to fraction form
    69.77/96.22 = 54.20/x
  3. Step 3: Cross multiply
    69.77x = 96.22 × 54.20
  4. Step 4: Simplify right side
    69.77x = 5,215.23
  5. Step 5: Solve for x
    x = 5,215.23/69.77
  6. Step 6: Final answer
    x = 74.75

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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.