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Finding the Fourth Proportional to 110.50, 165.92 and 105.02

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Solution

The fourth proportional to 110.50, 165.92 and 105.02 is: 157.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.50 : 165.92 = 105.02 : x
  2. Step 2: Convert to fraction form
    110.50/165.92 = 105.02/x
  3. Step 3: Cross multiply
    110.50x = 165.92 × 105.02
  4. Step 4: Simplify right side
    110.50x = 17,424.92
  5. Step 5: Solve for x
    x = 17,424.92/110.50
  6. Step 6: Final answer
    x = 157.69

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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.