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Finding the Fourth Proportional to 71.43, 98.66 and 50.77

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Solution

The fourth proportional to 71.43, 98.66 and 50.77 is: 70.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.43 : 98.66 = 50.77 : x
  2. Step 2: Convert to fraction form
    71.43/98.66 = 50.77/x
  3. Step 3: Cross multiply
    71.43x = 98.66 × 50.77
  4. Step 4: Simplify right side
    71.43x = 5,008.97
  5. Step 5: Solve for x
    x = 5,008.97/71.43
  6. Step 6: Final answer
    x = 70.12

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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.