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Finding the Fourth Proportional to 71.36, 98.26 and 69.84

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Solution

The fourth proportional to 71.36, 98.26 and 69.84 is: 96.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.36 : 98.26 = 69.84 : x
  2. Step 2: Convert to fraction form
    71.36/98.26 = 69.84/x
  3. Step 3: Cross multiply
    71.36x = 98.26 × 69.84
  4. Step 4: Simplify right side
    71.36x = 6,862.48
  5. Step 5: Solve for x
    x = 6,862.48/71.36
  6. Step 6: Final answer
    x = 96.17

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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.