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Finding the Fourth Proportional to 110.12, 165.13 and 71.62

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Solution

The fourth proportional to 110.12, 165.13 and 71.62 is: 107.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.12 : 165.13 = 71.62 : x
  2. Step 2: Convert to fraction form
    110.12/165.13 = 71.62/x
  3. Step 3: Cross multiply
    110.12x = 165.13 × 71.62
  4. Step 4: Simplify right side
    110.12x = 11,826.61
  5. Step 5: Solve for x
    x = 11,826.61/110.12
  6. Step 6: Final answer
    x = 107.40

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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.