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Finding the Fourth Proportional to 61.34, 91.94 and 54.59

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Solution

The fourth proportional to 61.34, 91.94 and 54.59 is: 81.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.34 : 91.94 = 54.59 : x
  2. Step 2: Convert to fraction form
    61.34/91.94 = 54.59/x
  3. Step 3: Cross multiply
    61.34x = 91.94 × 54.59
  4. Step 4: Simplify right side
    61.34x = 5,018.27
  5. Step 5: Solve for x
    x = 5,018.27/61.34
  6. Step 6: Final answer
    x = 81.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.