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Finding the Fourth Proportional to 165.74, 228.83 and 103.66

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Solution

The fourth proportional to 165.74, 228.83 and 103.66 is: 143.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.74 : 228.83 = 103.66 : x
  2. Step 2: Convert to fraction form
    165.74/228.83 = 103.66/x
  3. Step 3: Cross multiply
    165.74x = 228.83 × 103.66
  4. Step 4: Simplify right side
    165.74x = 23,720.52
  5. Step 5: Solve for x
    x = 23,720.52/165.74
  6. Step 6: Final answer
    x = 143.12

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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.