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Finding the Fourth Proportional to 71.84, 107.17 and 69.95

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Solution

The fourth proportional to 71.84, 107.17 and 69.95 is: 104.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.84 : 107.17 = 69.95 : x
  2. Step 2: Convert to fraction form
    71.84/107.17 = 69.95/x
  3. Step 3: Cross multiply
    71.84x = 107.17 × 69.95
  4. Step 4: Simplify right side
    71.84x = 7,496.54
  5. Step 5: Solve for x
    x = 7,496.54/71.84
  6. Step 6: Final answer
    x = 104.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.