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Finding the Fourth Proportional to 71.28, 98.54 and 69.48

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Solution

The fourth proportional to 71.28, 98.54 and 69.48 is: 96.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.28 : 98.54 = 69.48 : x
  2. Step 2: Convert to fraction form
    71.28/98.54 = 69.48/x
  3. Step 3: Cross multiply
    71.28x = 98.54 × 69.48
  4. Step 4: Simplify right side
    71.28x = 6,846.56
  5. Step 5: Solve for x
    x = 6,846.56/71.28
  6. Step 6: Final answer
    x = 96.05

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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.