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Finding the Fourth Proportional to 166.51, 229.77 and 100.16

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Solution

The fourth proportional to 166.51, 229.77 and 100.16 is: 138.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.51 : 229.77 = 100.16 : x
  2. Step 2: Convert to fraction form
    166.51/229.77 = 100.16/x
  3. Step 3: Cross multiply
    166.51x = 229.77 × 100.16
  4. Step 4: Simplify right side
    166.51x = 23,013.85
  5. Step 5: Solve for x
    x = 23,013.85/166.51
  6. Step 6: Final answer
    x = 138.22

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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.