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Finding the Fourth Proportional to 165.96, 228.78 and 124.56

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Solution

The fourth proportional to 165.96, 228.78 and 124.56 is: 171.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.96 : 228.78 = 124.56 : x
  2. Step 2: Convert to fraction form
    165.96/228.78 = 124.56/x
  3. Step 3: Cross multiply
    165.96x = 228.78 × 124.56
  4. Step 4: Simplify right side
    165.96x = 28,496.84
  5. Step 5: Solve for x
    x = 28,496.84/165.96
  6. Step 6: Final answer
    x = 171.71

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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.