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Finding the Fourth Proportional to 80.84, 121.37 and 70.55

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Solution

The fourth proportional to 80.84, 121.37 and 70.55 is: 105.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    80.84 : 121.37 = 70.55 : x
  2. Step 2: Convert to fraction form
    80.84/121.37 = 70.55/x
  3. Step 3: Cross multiply
    80.84x = 121.37 × 70.55
  4. Step 4: Simplify right side
    80.84x = 8,561.69
  5. Step 5: Solve for x
    x = 8,561.69/80.84
  6. Step 6: Final answer
    x = 105.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.