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Finding the Fourth Proportional to 165.50, 228.40 and 100.02

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Solution

The fourth proportional to 165.50, 228.40 and 100.02 is: 138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.50 : 228.40 = 100.02 : x
  2. Step 2: Convert to fraction form
    165.50/228.40 = 100.02/x
  3. Step 3: Cross multiply
    165.50x = 228.40 × 100.02
  4. Step 4: Simplify right side
    165.50x = 22,844.57
  5. Step 5: Solve for x
    x = 22,844.57/165.50
  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.