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Finding the Fourth Proportional to 71.75, 106.98 and 70.84

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Solution

The fourth proportional to 71.75, 106.98 and 70.84 is: 105.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.75 : 106.98 = 70.84 : x
  2. Step 2: Convert to fraction form
    71.75/106.98 = 70.84/x
  3. Step 3: Cross multiply
    71.75x = 106.98 × 70.84
  4. Step 4: Simplify right side
    71.75x = 7,578.46
  5. Step 5: Solve for x
    x = 7,578.46/71.75
  6. Step 6: Final answer
    x = 105.62

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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.