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Finding the Fourth Proportional to 50.96, 70.17 and 42.74

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Solution

The fourth proportional to 50.96, 70.17 and 42.74 is: 58.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.96 : 70.17 = 42.74 : x
  2. Step 2: Convert to fraction form
    50.96/70.17 = 42.74/x
  3. Step 3: Cross multiply
    50.96x = 70.17 × 42.74
  4. Step 4: Simplify right side
    50.96x = 2,999.07
  5. Step 5: Solve for x
    x = 2,999.07/50.96
  6. Step 6: Final answer
    x = 58.85

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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.