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Finding the Fourth Proportional to 165.57, 228.42 and 100.05

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Solution

The fourth proportional to 165.57, 228.42 and 100.05 is: 138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.57 : 228.42 = 100.05 : x
  2. Step 2: Convert to fraction form
    165.57/228.42 = 100.05/x
  3. Step 3: Cross multiply
    165.57x = 228.42 × 100.05
  4. Step 4: Simplify right side
    165.57x = 22,853.10
  5. Step 5: Solve for x
    x = 22,853.10/165.57
  6. Step 6: Final answer
    x = 138.03

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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.