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Finding the Fourth Proportional to 86.58, 119.57 and 59.06

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Solution

The fourth proportional to 86.58, 119.57 and 59.06 is: 81.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.58 : 119.57 = 59.06 : x
  2. Step 2: Convert to fraction form
    86.58/119.57 = 59.06/x
  3. Step 3: Cross multiply
    86.58x = 119.57 × 59.06
  4. Step 4: Simplify right side
    86.58x = 7,061.80
  5. Step 5: Solve for x
    x = 7,061.80/86.58
  6. Step 6: Final answer
    x = 81.56

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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.