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Finding the Fourth Proportional to 165.32, 228.14 and 107.20

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Solution

The fourth proportional to 165.32, 228.14 and 107.20 is: 147.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.32 : 228.14 = 107.20 : x
  2. Step 2: Convert to fraction form
    165.32/228.14 = 107.20/x
  3. Step 3: Cross multiply
    165.32x = 228.14 × 107.20
  4. Step 4: Simplify right side
    165.32x = 24,456.61
  5. Step 5: Solve for x
    x = 24,456.61/165.32
  6. Step 6: Final answer
    x = 147.93

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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.