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Finding the Fourth Proportional to 61.09, 84.02 and 57.71

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Solution

The fourth proportional to 61.09, 84.02 and 57.71 is: 79.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.09 : 84.02 = 57.71 : x
  2. Step 2: Convert to fraction form
    61.09/84.02 = 57.71/x
  3. Step 3: Cross multiply
    61.09x = 84.02 × 57.71
  4. Step 4: Simplify right side
    61.09x = 4,848.72
  5. Step 5: Solve for x
    x = 4,848.72/61.09
  6. Step 6: Final answer
    x = 79.37

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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.