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Finding the Fourth Proportional to 74.13, 102.23 and 49.22

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Solution

The fourth proportional to 74.13, 102.23 and 49.22 is: 67.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.13 : 102.23 = 49.22 : x
  2. Step 2: Convert to fraction form
    74.13/102.23 = 49.22/x
  3. Step 3: Cross multiply
    74.13x = 102.23 × 49.22
  4. Step 4: Simplify right side
    74.13x = 5,031.06
  5. Step 5: Solve for x
    x = 5,031.06/74.13
  6. Step 6: Final answer
    x = 67.87

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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.