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Finding the Fourth Proportional to 165.90, 228.96 and 100.41

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Solution

The fourth proportional to 165.90, 228.96 and 100.41 is: 138.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.90 : 228.96 = 100.41 : x
  2. Step 2: Convert to fraction form
    165.90/228.96 = 100.41/x
  3. Step 3: Cross multiply
    165.90x = 228.96 × 100.41
  4. Step 4: Simplify right side
    165.90x = 22,989.02
  5. Step 5: Solve for x
    x = 22,989.02/165.90
  6. Step 6: Final answer
    x = 138.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.