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Finding the Fourth Proportional to 83.84, 115.65 and 70.21

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Solution

The fourth proportional to 83.84, 115.65 and 70.21 is: 96.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.84 : 115.65 = 70.21 : x
  2. Step 2: Convert to fraction form
    83.84/115.65 = 70.21/x
  3. Step 3: Cross multiply
    83.84x = 115.65 × 70.21
  4. Step 4: Simplify right side
    83.84x = 8,119.50
  5. Step 5: Solve for x
    x = 8,119.50/83.84
  6. Step 6: Final answer
    x = 96.84

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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.