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Finding the Fourth Proportional to 165.90, 228.90 and 100.44

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Solution

The fourth proportional to 165.90, 228.90 and 100.44 is: 138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.90 : 228.90 = 100.44 : x
  2. Step 2: Convert to fraction form
    165.90/228.90 = 100.44/x
  3. Step 3: Cross multiply
    165.90x = 228.90 × 100.44
  4. Step 4: Simplify right side
    165.90x = 22,990.72
  5. Step 5: Solve for x
    x = 22,990.72/165.90
  6. Step 6: Final answer
    x = 138.58

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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.