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Finding the Fourth Proportional to 165.22, 228 and 91.53

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Solution

The fourth proportional to 165.22, 228 and 91.53 is: 126.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.22 : 228 = 91.53 : x
  2. Step 2: Convert to fraction form
    165.22/228 = 91.53/x
  3. Step 3: Cross multiply
    165.22x = 228 × 91.53
  4. Step 4: Simplify right side
    165.22x = 20,868.84
  5. Step 5: Solve for x
    x = 20,868.84/165.22
  6. Step 6: Final answer
    x = 126.31

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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.