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Finding the Fourth Proportional to 86.58, 119.33 and 64.71

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Solution

The fourth proportional to 86.58, 119.33 and 64.71 is: 89.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.58 : 119.33 = 64.71 : x
  2. Step 2: Convert to fraction form
    86.58/119.33 = 64.71/x
  3. Step 3: Cross multiply
    86.58x = 119.33 × 64.71
  4. Step 4: Simplify right side
    86.58x = 7,721.52
  5. Step 5: Solve for x
    x = 7,721.52/86.58
  6. Step 6: Final answer
    x = 89.18

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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.