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Finding the Fourth Proportional to 165.93, 229.04 and 100.44

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Solution

The fourth proportional to 165.93, 229.04 and 100.44 is: 138.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.93 : 229.04 = 100.44 : x
  2. Step 2: Convert to fraction form
    165.93/229.04 = 100.44/x
  3. Step 3: Cross multiply
    165.93x = 229.04 × 100.44
  4. Step 4: Simplify right side
    165.93x = 23,005.03
  5. Step 5: Solve for x
    x = 23,005.03/165.93
  6. Step 6: Final answer
    x = 138.64

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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.