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Finding the Fourth Proportional to 165.74, 228.84 and 106.81

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Solution

The fourth proportional to 165.74, 228.84 and 106.81 is: 147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.74 : 228.84 = 106.81 : x
  2. Step 2: Convert to fraction form
    165.74/228.84 = 106.81/x
  3. Step 3: Cross multiply
    165.74x = 228.84 × 106.81
  4. Step 4: Simplify right side
    165.74x = 24,440.72
  5. Step 5: Solve for x
    x = 24,440.72/165.74
  6. Step 6: Final answer
    x = 147.47

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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.