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Finding the Fourth Proportional to 165.81, 228.84 and 107.76

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Solution

The fourth proportional to 165.81, 228.84 and 107.76 is: 148.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.81 : 228.84 = 107.76 : x
  2. Step 2: Convert to fraction form
    165.81/228.84 = 107.76/x
  3. Step 3: Cross multiply
    165.81x = 228.84 × 107.76
  4. Step 4: Simplify right side
    165.81x = 24,658.65
  5. Step 5: Solve for x
    x = 24,658.65/165.81
  6. Step 6: Final answer
    x = 148.72

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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.