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Finding the Fourth Proportional to 165.42, 228.32 and 103.28

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Solution

The fourth proportional to 165.42, 228.32 and 103.28 is: 142.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 228.32 = 103.28 : x
  2. Step 2: Convert to fraction form
    165.42/228.32 = 103.28/x
  3. Step 3: Cross multiply
    165.42x = 228.32 × 103.28
  4. Step 4: Simplify right side
    165.42x = 23,579.23
  5. Step 5: Solve for x
    x = 23,579.23/165.42
  6. Step 6: Final answer
    x = 142.54

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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.