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Finding the Fourth Proportional to 74.09, 111.17 and 47.02

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Solution

The fourth proportional to 74.09, 111.17 and 47.02 is: 70.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.09 : 111.17 = 47.02 : x
  2. Step 2: Convert to fraction form
    74.09/111.17 = 47.02/x
  3. Step 3: Cross multiply
    74.09x = 111.17 × 47.02
  4. Step 4: Simplify right side
    74.09x = 5,227.21
  5. Step 5: Solve for x
    x = 5,227.21/74.09
  6. Step 6: Final answer
    x = 70.55

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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.