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Finding the Fourth Proportional to 110, 165.03 and 49.19

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Solution

The fourth proportional to 110, 165.03 and 49.19 is: 73.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    110 : 165.03 = 49.19 : x
  2. Step 2: Convert to fraction form
    110/165.03 = 49.19/x
  3. Step 3: Cross multiply
    110x = 165.03 × 49.19
  4. Step 4: Simplify right side
    110x = 8,117.83
  5. Step 5: Solve for x
    x = 8,117.83/110
  6. Step 6: Final answer
    x = 73.80

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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.