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Finding the Fourth Proportional to 47.68, 66.14 and 46.04

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Solution

The fourth proportional to 47.68, 66.14 and 46.04 is: 63.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.68 : 66.14 = 46.04 : x
  2. Step 2: Convert to fraction form
    47.68/66.14 = 46.04/x
  3. Step 3: Cross multiply
    47.68x = 66.14 × 46.04
  4. Step 4: Simplify right side
    47.68x = 3,045.09
  5. Step 5: Solve for x
    x = 3,045.09/47.68
  6. Step 6: Final answer
    x = 63.87

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.