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Finding the Fourth Proportional to 110.78, 165.98 and 49.86

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Solution

The fourth proportional to 110.78, 165.98 and 49.86 is: 74.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.78 : 165.98 = 49.86 : x
  2. Step 2: Convert to fraction form
    110.78/165.98 = 49.86/x
  3. Step 3: Cross multiply
    110.78x = 165.98 × 49.86
  4. Step 4: Simplify right side
    110.78x = 8,275.51
  5. Step 5: Solve for x
    x = 8,275.51/110.78
  6. Step 6: Final answer
    x = 74.71

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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.