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Finding the Fourth Proportional to 76.22, 105.26 and 61.77

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Solution

The fourth proportional to 76.22, 105.26 and 61.77 is: 85.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.22 : 105.26 = 61.77 : x
  2. Step 2: Convert to fraction form
    76.22/105.26 = 61.77/x
  3. Step 3: Cross multiply
    76.22x = 105.26 × 61.77
  4. Step 4: Simplify right side
    76.22x = 6,501.60
  5. Step 5: Solve for x
    x = 6,501.60/76.22
  6. Step 6: Final answer
    x = 85.31

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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.