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Finding the Fourth Proportional to 110.21, 164.94 and 71.63

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Solution

The fourth proportional to 110.21, 164.94 and 71.63 is: 107.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.21 : 164.94 = 71.63 : x
  2. Step 2: Convert to fraction form
    110.21/164.94 = 71.63/x
  3. Step 3: Cross multiply
    110.21x = 164.94 × 71.63
  4. Step 4: Simplify right side
    110.21x = 11,815.11
  5. Step 5: Solve for x
    x = 11,815.11/110.21
  6. Step 6: Final answer
    x = 107.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.