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Finding the Fourth Proportional to 165.42, 228.28 and 103.22

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Solution

The fourth proportional to 165.42, 228.28 and 103.22 is: 142.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 228.28 = 103.22 : x
  2. Step 2: Convert to fraction form
    165.42/228.28 = 103.22/x
  3. Step 3: Cross multiply
    165.42x = 228.28 × 103.22
  4. Step 4: Simplify right side
    165.42x = 23,563.06
  5. Step 5: Solve for x
    x = 23,563.06/165.42
  6. Step 6: Final answer
    x = 142.44

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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.