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Finding the Fourth Proportional to 47.01, 71.09 and 46.56

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Solution

The fourth proportional to 47.01, 71.09 and 46.56 is: 70.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.01 : 71.09 = 46.56 : x
  2. Step 2: Convert to fraction form
    47.01/71.09 = 46.56/x
  3. Step 3: Cross multiply
    47.01x = 71.09 × 46.56
  4. Step 4: Simplify right side
    47.01x = 3,309.72
  5. Step 5: Solve for x
    x = 3,309.72/47.01
  6. Step 6: Final answer
    x = 70.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.