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Finding the Fourth Proportional to 165.54, 228.42 and 106.57

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Solution

The fourth proportional to 165.54, 228.42 and 106.57 is: 147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.54 : 228.42 = 106.57 : x
  2. Step 2: Convert to fraction form
    165.54/228.42 = 106.57/x
  3. Step 3: Cross multiply
    165.54x = 228.42 × 106.57
  4. Step 4: Simplify right side
    165.54x = 24,342.72
  5. Step 5: Solve for x
    x = 24,342.72/165.54
  6. Step 6: Final answer
    x = 147.05

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Why These Related Problems?

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