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Finding the Fourth Proportional to 110.78, 165.96 and 85.24

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Solution

The fourth proportional to 110.78, 165.96 and 85.24 is: 127.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.78 : 165.96 = 85.24 : x
  2. Step 2: Convert to fraction form
    110.78/165.96 = 85.24/x
  3. Step 3: Cross multiply
    110.78x = 165.96 × 85.24
  4. Step 4: Simplify right side
    110.78x = 14,146.43
  5. Step 5: Solve for x
    x = 14,146.43/110.78
  6. Step 6: Final answer
    x = 127.70

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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.