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Finding the Fourth Proportional to 117.34, 161.94 and 70.71

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Solution

The fourth proportional to 117.34, 161.94 and 70.71 is: 97.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.34 : 161.94 = 70.71 : x
  2. Step 2: Convert to fraction form
    117.34/161.94 = 70.71/x
  3. Step 3: Cross multiply
    117.34x = 161.94 × 70.71
  4. Step 4: Simplify right side
    117.34x = 11,450.78
  5. Step 5: Solve for x
    x = 11,450.78/117.34
  6. Step 6: Final answer
    x = 97.59

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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.