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Finding the Fourth Proportional to 166.68, 230.02 and 107.74

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Solution

The fourth proportional to 166.68, 230.02 and 107.74 is: 148.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.68 : 230.02 = 107.74 : x
  2. Step 2: Convert to fraction form
    166.68/230.02 = 107.74/x
  3. Step 3: Cross multiply
    166.68x = 230.02 × 107.74
  4. Step 4: Simplify right side
    166.68x = 24,782.35
  5. Step 5: Solve for x
    x = 24,782.35/166.68
  6. Step 6: Final answer
    x = 148.68

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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.