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Finding the Fourth Proportional to 74.71, 111.85 and 47.47

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Solution

The fourth proportional to 74.71, 111.85 and 47.47 is: 71.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.71 : 111.85 = 47.47 : x
  2. Step 2: Convert to fraction form
    74.71/111.85 = 47.47/x
  3. Step 3: Cross multiply
    74.71x = 111.85 × 47.47
  4. Step 4: Simplify right side
    74.71x = 5,309.52
  5. Step 5: Solve for x
    x = 5,309.52/74.71
  6. Step 6: Final answer
    x = 71.07

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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.