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Finding the Fourth Proportional to 76.36, 105.15 and 59.89

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Solution

The fourth proportional to 76.36, 105.15 and 59.89 is: 82.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76.36 : 105.15 = 59.89 : x
  2. Step 2: Convert to fraction form
    76.36/105.15 = 59.89/x
  3. Step 3: Cross multiply
    76.36x = 105.15 × 59.89
  4. Step 4: Simplify right side
    76.36x = 6,297.43
  5. Step 5: Solve for x
    x = 6,297.43/76.36
  6. Step 6: Final answer
    x = 82.47

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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.