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Finding the Fourth Proportional to 61.31, 83.81 and 61.31

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Solution

The fourth proportional to 61.31, 83.81 and 61.31 is: 83.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.31 : 83.81 = 61.31 : x
  2. Step 2: Convert to fraction form
    61.31/83.81 = 61.31/x
  3. Step 3: Cross multiply
    61.31x = 83.81 × 61.31
  4. Step 4: Simplify right side
    61.31x = 5,138.11
  5. Step 5: Solve for x
    x = 5,138.11/61.31
  6. Step 6: Final answer
    x = 83.81

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.