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Finding the Fourth Proportional to 47.91, 66.07 and 31.51

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Solution

The fourth proportional to 47.91, 66.07 and 31.51 is: 43.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.91 : 66.07 = 31.51 : x
  2. Step 2: Convert to fraction form
    47.91/66.07 = 31.51/x
  3. Step 3: Cross multiply
    47.91x = 66.07 × 31.51
  4. Step 4: Simplify right side
    47.91x = 2,081.62
  5. Step 5: Solve for x
    x = 2,081.62/47.91
  6. Step 6: Final answer
    x = 43.45

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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.