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Finding the Fourth Proportional to 74.02, 102.08 and 49.47

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Solution

The fourth proportional to 74.02, 102.08 and 49.47 is: 68.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.02 : 102.08 = 49.47 : x
  2. Step 2: Convert to fraction form
    74.02/102.08 = 49.47/x
  3. Step 3: Cross multiply
    74.02x = 102.08 × 49.47
  4. Step 4: Simplify right side
    74.02x = 5,049.90
  5. Step 5: Solve for x
    x = 5,049.90/74.02
  6. Step 6: Final answer
    x = 68.22

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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.