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Finding the Fourth Proportional to 86.77, 119.78 and 59.18

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Solution

The fourth proportional to 86.77, 119.78 and 59.18 is: 81.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.77 : 119.78 = 59.18 : x
  2. Step 2: Convert to fraction form
    86.77/119.78 = 59.18/x
  3. Step 3: Cross multiply
    86.77x = 119.78 × 59.18
  4. Step 4: Simplify right side
    86.77x = 7,088.58
  5. Step 5: Solve for x
    x = 7,088.58/86.77
  6. Step 6: Final answer
    x = 81.69

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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.