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Finding the Fourth Proportional to 69.61, 96.02 and 54.05

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Solution

The fourth proportional to 69.61, 96.02 and 54.05 is: 74.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.61 : 96.02 = 54.05 : x
  2. Step 2: Convert to fraction form
    69.61/96.02 = 54.05/x
  3. Step 3: Cross multiply
    69.61x = 96.02 × 54.05
  4. Step 4: Simplify right side
    69.61x = 5,189.88
  5. Step 5: Solve for x
    x = 5,189.88/69.61
  6. Step 6: Final answer
    x = 74.56

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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.