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Finding the Fourth Proportional to 165.78, 228.84 and 106.80

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Solution

The fourth proportional to 165.78, 228.84 and 106.80 is: 147.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 228.84 = 106.80 : x
  2. Step 2: Convert to fraction form
    165.78/228.84 = 106.80/x
  3. Step 3: Cross multiply
    165.78x = 228.84 × 106.80
  4. Step 4: Simplify right side
    165.78x = 24,440.11
  5. Step 5: Solve for x
    x = 24,440.11/165.78
  6. Step 6: Final answer
    x = 147.42

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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.