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Finding the Fourth Proportional to 165.03, 227.64 and 109.77

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Solution

The fourth proportional to 165.03, 227.64 and 109.77 is: 151.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.03 : 227.64 = 109.77 : x
  2. Step 2: Convert to fraction form
    165.03/227.64 = 109.77/x
  3. Step 3: Cross multiply
    165.03x = 227.64 × 109.77
  4. Step 4: Simplify right side
    165.03x = 24,988.04
  5. Step 5: Solve for x
    x = 24,988.04/165.03
  6. Step 6: Final answer
    x = 151.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.