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Finding the Fourth Proportional to 165.77, 228.58 and 106.64

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Solution

The fourth proportional to 165.77, 228.58 and 106.64 is: 147.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.77 : 228.58 = 106.64 : x
  2. Step 2: Convert to fraction form
    165.77/228.58 = 106.64/x
  3. Step 3: Cross multiply
    165.77x = 228.58 × 106.64
  4. Step 4: Simplify right side
    165.77x = 24,375.77
  5. Step 5: Solve for x
    x = 24,375.77/165.77
  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.