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Finding the Fourth Proportional to 165.83, 228.90 and 106.86

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Solution

The fourth proportional to 165.83, 228.90 and 106.86 is: 147.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.83 : 228.90 = 106.86 : x
  2. Step 2: Convert to fraction form
    165.83/228.90 = 106.86/x
  3. Step 3: Cross multiply
    165.83x = 228.90 × 106.86
  4. Step 4: Simplify right side
    165.83x = 24,460.25
  5. Step 5: Solve for x
    x = 24,460.25/165.83
  6. Step 6: Final answer
    x = 147.51

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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.