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Finding the Fourth Proportional to 70.73, 97.62 and 50.06

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Solution

The fourth proportional to 70.73, 97.62 and 50.06 is: 69.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    70.73 : 97.62 = 50.06 : x
  2. Step 2: Convert to fraction form
    70.73/97.62 = 50.06/x
  3. Step 3: Cross multiply
    70.73x = 97.62 × 50.06
  4. Step 4: Simplify right side
    70.73x = 4,886.86
  5. Step 5: Solve for x
    x = 4,886.86/70.73
  6. Step 6: Final answer
    x = 69.09

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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.