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Finding the Fourth Proportional to 110.76, 165.99 and 85.02

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Solution

The fourth proportional to 110.76, 165.99 and 85.02 is: 127.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.76 : 165.99 = 85.02 : x
  2. Step 2: Convert to fraction form
    110.76/165.99 = 85.02/x
  3. Step 3: Cross multiply
    110.76x = 165.99 × 85.02
  4. Step 4: Simplify right side
    110.76x = 14,112.47
  5. Step 5: Solve for x
    x = 14,112.47/110.76
  6. Step 6: Final answer
    x = 127.41

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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.