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Finding the Fourth Proportional to 165.39, 228.14 and 106.44

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Solution

The fourth proportional to 165.39, 228.14 and 106.44 is: 146.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.39 : 228.14 = 106.44 : x
  2. Step 2: Convert to fraction form
    165.39/228.14 = 106.44/x
  3. Step 3: Cross multiply
    165.39x = 228.14 × 106.44
  4. Step 4: Simplify right side
    165.39x = 24,283.22
  5. Step 5: Solve for x
    x = 24,283.22/165.39
  6. Step 6: Final answer
    x = 146.82

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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.