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Finding the Fourth Proportional to 47.71, 71.57 and 11.64

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Solution

The fourth proportional to 47.71, 71.57 and 11.64 is: 17.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    47.71 : 71.57 = 11.64 : x
  2. Step 2: Convert to fraction form
    47.71/71.57 = 11.64/x
  3. Step 3: Cross multiply
    47.71x = 71.57 × 11.64
  4. Step 4: Simplify right side
    47.71x = 833.05
  5. Step 5: Solve for x
    x = 833.05/47.71
  6. Step 6: Final answer
    x = 17.46

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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.