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Finding the Fourth Proportional to 110.30, 165.46 and 29.15

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Solution

The fourth proportional to 110.30, 165.46 and 29.15 is: 43.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.30 : 165.46 = 29.15 : x
  2. Step 2: Convert to fraction form
    110.30/165.46 = 29.15/x
  3. Step 3: Cross multiply
    110.30x = 165.46 × 29.15
  4. Step 4: Simplify right side
    110.30x = 4,823.16
  5. Step 5: Solve for x
    x = 4,823.16/110.30
  6. Step 6: Final answer
    x = 43.73

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