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Finding the Fourth Proportional to 120.36, 166.10 and 71.26

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Solution

The fourth proportional to 120.36, 166.10 and 71.26 is: 98.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.36 : 166.10 = 71.26 : x
  2. Step 2: Convert to fraction form
    120.36/166.10 = 71.26/x
  3. Step 3: Cross multiply
    120.36x = 166.10 × 71.26
  4. Step 4: Simplify right side
    120.36x = 11,836.29
  5. Step 5: Solve for x
    x = 11,836.29/120.36
  6. Step 6: Final answer
    x = 98.34

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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.