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Finding the Fourth Proportional to 166.10, 249.14 and 52.10

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Solution

The fourth proportional to 166.10, 249.14 and 52.10 is: 78.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.10 : 249.14 = 52.10 : x
  2. Step 2: Convert to fraction form
    166.10/249.14 = 52.10/x
  3. Step 3: Cross multiply
    166.10x = 249.14 × 52.10
  4. Step 4: Simplify right side
    166.10x = 12,978.95
  5. Step 5: Solve for x
    x = 12,978.95/166.10
  6. Step 6: Final answer
    x = 78.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.