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Finding the Fourth Proportional to 73.91, 102.06 and 49.46

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Solution

The fourth proportional to 73.91, 102.06 and 49.46 is: 68.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.91 : 102.06 = 49.46 : x
  2. Step 2: Convert to fraction form
    73.91/102.06 = 49.46/x
  3. Step 3: Cross multiply
    73.91x = 102.06 × 49.46
  4. Step 4: Simplify right side
    73.91x = 5,047.95
  5. Step 5: Solve for x
    x = 5,047.95/73.91
  6. Step 6: Final answer
    x = 68.30

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.