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Finding the Fourth Proportional to 110.90, 165.38 and 102.49

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Solution

The fourth proportional to 110.90, 165.38 and 102.49 is: 152.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.90 : 165.38 = 102.49 : x
  2. Step 2: Convert to fraction form
    110.90/165.38 = 102.49/x
  3. Step 3: Cross multiply
    110.90x = 165.38 × 102.49
  4. Step 4: Simplify right side
    110.90x = 16,948.87
  5. Step 5: Solve for x
    x = 16,948.87/110.90
  6. Step 6: Final answer
    x = 152.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.