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Finding the Fourth Proportional to 166.37, 229.51 and 100.91

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Solution

The fourth proportional to 166.37, 229.51 and 100.91 is: 139.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.37 : 229.51 = 100.91 : x
  2. Step 2: Convert to fraction form
    166.37/229.51 = 100.91/x
  3. Step 3: Cross multiply
    166.37x = 229.51 × 100.91
  4. Step 4: Simplify right side
    166.37x = 23,160.55
  5. Step 5: Solve for x
    x = 23,160.55/166.37
  6. Step 6: Final answer
    x = 139.22

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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.