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Finding the Fourth Proportional to 61.81, 85.43 and 52.09

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Solution

The fourth proportional to 61.81, 85.43 and 52.09 is: 72.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.81 : 85.43 = 52.09 : x
  2. Step 2: Convert to fraction form
    61.81/85.43 = 52.09/x
  3. Step 3: Cross multiply
    61.81x = 85.43 × 52.09
  4. Step 4: Simplify right side
    61.81x = 4,450.05
  5. Step 5: Solve for x
    x = 4,450.05/61.81
  6. Step 6: Final answer
    x = 72.00

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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.