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Finding the Fourth Proportional to 110.25, 165.38 and 29.10

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Solution

The fourth proportional to 110.25, 165.38 and 29.10 is: 43.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.25 : 165.38 = 29.10 : x
  2. Step 2: Convert to fraction form
    110.25/165.38 = 29.10/x
  3. Step 3: Cross multiply
    110.25x = 165.38 × 29.10
  4. Step 4: Simplify right side
    110.25x = 4,812.41
  5. Step 5: Solve for x
    x = 4,812.41/110.25
  6. Step 6: Final answer
    x = 43.65

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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.