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Finding the Fourth Proportional to 165.38, 228.24 and 99.90

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Solution

The fourth proportional to 165.38, 228.24 and 99.90 is: 137.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.38 : 228.24 = 99.90 : x
  2. Step 2: Convert to fraction form
    165.38/228.24 = 99.90/x
  3. Step 3: Cross multiply
    165.38x = 228.24 × 99.90
  4. Step 4: Simplify right side
    165.38x = 22,801.18
  5. Step 5: Solve for x
    x = 22,801.18/165.38
  6. Step 6: Final answer
    x = 137.88

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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.