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Finding the Fourth Proportional to 71.36, 98.42 and 51.83

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Solution

The fourth proportional to 71.36, 98.42 and 51.83 is: 71.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.36 : 98.42 = 51.83 : x
  2. Step 2: Convert to fraction form
    71.36/98.42 = 51.83/x
  3. Step 3: Cross multiply
    71.36x = 98.42 × 51.83
  4. Step 4: Simplify right side
    71.36x = 5,100.36
  5. Step 5: Solve for x
    x = 5,100.36/71.36
  6. Step 6: Final answer
    x = 71.47

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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.