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Finding the Fourth Proportional to 166.04, 229.07 and 107.84

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Solution

The fourth proportional to 166.04, 229.07 and 107.84 is: 148.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.04 : 229.07 = 107.84 : x
  2. Step 2: Convert to fraction form
    166.04/229.07 = 107.84/x
  3. Step 3: Cross multiply
    166.04x = 229.07 × 107.84
  4. Step 4: Simplify right side
    166.04x = 24,701.22
  5. Step 5: Solve for x
    x = 24,701.22/166.04
  6. Step 6: Final answer
    x = 148.77

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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.