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Finding the Fourth Proportional to 110.65, 165.93 and 49.78

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Solution

The fourth proportional to 110.65, 165.93 and 49.78 is: 74.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.65 : 165.93 = 49.78 : x
  2. Step 2: Convert to fraction form
    110.65/165.93 = 49.78/x
  3. Step 3: Cross multiply
    110.65x = 165.93 × 49.78
  4. Step 4: Simplify right side
    110.65x = 8,260.00
  5. Step 5: Solve for x
    x = 8,260.00/110.65
  6. Step 6: Final answer
    x = 74.65

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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.