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Finding the Fourth Proportional to 110.08, 165.14 and 49.22

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Solution

The fourth proportional to 110.08, 165.14 and 49.22 is: 73.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.08 : 165.14 = 49.22 : x
  2. Step 2: Convert to fraction form
    110.08/165.14 = 49.22/x
  3. Step 3: Cross multiply
    110.08x = 165.14 × 49.22
  4. Step 4: Simplify right side
    110.08x = 8,127.94
  5. Step 5: Solve for x
    x = 8,127.94/110.08
  6. Step 6: Final answer
    x = 73.84

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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.