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Finding the Fourth Proportional to 166.06, 249.07 and 56.38

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Solution

The fourth proportional to 166.06, 249.07 and 56.38 is: 84.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    166.06 : 249.07 = 56.38 : x
  2. Step 2: Convert to fraction form
    166.06/249.07 = 56.38/x
  3. Step 3: Cross multiply
    166.06x = 249.07 × 56.38
  4. Step 4: Simplify right side
    166.06x = 14,041.94
  5. Step 5: Solve for x
    x = 14,041.94/166.06
  6. Step 6: Final answer
    x = 84.56

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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.