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Finding the Fourth Proportional to 61.76, 85.76 and 61.44

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Solution

The fourth proportional to 61.76, 85.76 and 61.44 is: 85.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.76 : 85.76 = 61.44 : x
  2. Step 2: Convert to fraction form
    61.76/85.76 = 61.44/x
  3. Step 3: Cross multiply
    61.76x = 85.76 × 61.44
  4. Step 4: Simplify right side
    61.76x = 5,269.09
  5. Step 5: Solve for x
    x = 5,269.09/61.76
  6. Step 6: Final answer
    x = 85.32

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.