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Finding the Fourth Proportional to 86.91, 119.84 and 70.49

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Solution

The fourth proportional to 86.91, 119.84 and 70.49 is: 97.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.91 : 119.84 = 70.49 : x
  2. Step 2: Convert to fraction form
    86.91/119.84 = 70.49/x
  3. Step 3: Cross multiply
    86.91x = 119.84 × 70.49
  4. Step 4: Simplify right side
    86.91x = 8,446.57
  5. Step 5: Solve for x
    x = 8,446.57/86.91
  6. Step 6: Final answer
    x = 97.19

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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.