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Finding the Fourth Proportional to 74.14, 102.23 and 49.56

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Solution

The fourth proportional to 74.14, 102.23 and 49.56 is: 68.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.14 : 102.23 = 49.56 : x
  2. Step 2: Convert to fraction form
    74.14/102.23 = 49.56/x
  3. Step 3: Cross multiply
    74.14x = 102.23 × 49.56
  4. Step 4: Simplify right side
    74.14x = 5,066.52
  5. Step 5: Solve for x
    x = 5,066.52/74.14
  6. Step 6: Final answer
    x = 68.34

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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.