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Finding the Fourth Proportional to 121.84, 168.09 and 70.09

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Solution

The fourth proportional to 121.84, 168.09 and 70.09 is: 96.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    121.84 : 168.09 = 70.09 : x
  2. Step 2: Convert to fraction form
    121.84/168.09 = 70.09/x
  3. Step 3: Cross multiply
    121.84x = 168.09 × 70.09
  4. Step 4: Simplify right side
    121.84x = 11,781.08
  5. Step 5: Solve for x
    x = 11,781.08/121.84
  6. Step 6: Final answer
    x = 96.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.