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Finding the Fourth Proportional to 110.07, 164.97 and 75.78

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Solution

The fourth proportional to 110.07, 164.97 and 75.78 is: 113.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.07 : 164.97 = 75.78 : x
  2. Step 2: Convert to fraction form
    110.07/164.97 = 75.78/x
  3. Step 3: Cross multiply
    110.07x = 164.97 × 75.78
  4. Step 4: Simplify right side
    110.07x = 12,501.43
  5. Step 5: Solve for x
    x = 12,501.43/110.07
  6. Step 6: Final answer
    x = 113.58

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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.