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Finding the Fourth Proportional to 165.57, 228.33 and 124.08

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Solution

The fourth proportional to 165.57, 228.33 and 124.08 is: 171.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.57 : 228.33 = 124.08 : x
  2. Step 2: Convert to fraction form
    165.57/228.33 = 124.08/x
  3. Step 3: Cross multiply
    165.57x = 228.33 × 124.08
  4. Step 4: Simplify right side
    165.57x = 28,331.19
  5. Step 5: Solve for x
    x = 28,331.19/165.57
  6. Step 6: Final answer
    x = 171.11

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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.