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Finding the Fourth Proportional to 86.30, 119.14 and 64.16

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Solution

The fourth proportional to 86.30, 119.14 and 64.16 is: 88.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.30 : 119.14 = 64.16 : x
  2. Step 2: Convert to fraction form
    86.30/119.14 = 64.16/x
  3. Step 3: Cross multiply
    86.30x = 119.14 × 64.16
  4. Step 4: Simplify right side
    86.30x = 7,644.02
  5. Step 5: Solve for x
    x = 7,644.02/86.30
  6. Step 6: Final answer
    x = 88.57

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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.