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Finding the Fourth Proportional to 165.53, 228.43 and 100.02

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Solution

The fourth proportional to 165.53, 228.43 and 100.02 is: 138.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.53 : 228.43 = 100.02 : x
  2. Step 2: Convert to fraction form
    165.53/228.43 = 100.02/x
  3. Step 3: Cross multiply
    165.53x = 228.43 × 100.02
  4. Step 4: Simplify right side
    165.53x = 22,847.57
  5. Step 5: Solve for x
    x = 22,847.57/165.53
  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.