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Finding the Fourth Proportional to 166.84, 230.24 and 96.91

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Solution

The fourth proportional to 166.84, 230.24 and 96.91 is: 133.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.84 : 230.24 = 96.91 : x
  2. Step 2: Convert to fraction form
    166.84/230.24 = 96.91/x
  3. Step 3: Cross multiply
    166.84x = 230.24 × 96.91
  4. Step 4: Simplify right side
    166.84x = 22,312.23
  5. Step 5: Solve for x
    x = 22,312.23/166.84
  6. Step 6: Final answer
    x = 133.74

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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.