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Finding the Fourth Proportional to 47.06, 64.97 and 34.15

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Solution

The fourth proportional to 47.06, 64.97 and 34.15 is: 47.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.06 : 64.97 = 34.15 : x
  2. Step 2: Convert to fraction form
    47.06/64.97 = 34.15/x
  3. Step 3: Cross multiply
    47.06x = 64.97 × 34.15
  4. Step 4: Simplify right side
    47.06x = 2,218.65
  5. Step 5: Solve for x
    x = 2,218.65/47.06
  6. Step 6: Final answer
    x = 47.14

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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.