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Finding the Fourth Proportional to 165.47, 228.33 and 103.31

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Solution

The fourth proportional to 165.47, 228.33 and 103.31 is: 142.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.47 : 228.33 = 103.31 : x
  2. Step 2: Convert to fraction form
    165.47/228.33 = 103.31/x
  3. Step 3: Cross multiply
    165.47x = 228.33 × 103.31
  4. Step 4: Simplify right side
    165.47x = 23,588.77
  5. Step 5: Solve for x
    x = 23,588.77/165.47
  6. Step 6: Final answer
    x = 142.56

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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.