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Finding the Fourth Proportional to 86.23, 119 and 57.18

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Solution

The fourth proportional to 86.23, 119 and 57.18 is: 78.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.23 : 119 = 57.18 : x
  2. Step 2: Convert to fraction form
    86.23/119 = 57.18/x
  3. Step 3: Cross multiply
    86.23x = 119 × 57.18
  4. Step 4: Simplify right side
    86.23x = 6,804.42
  5. Step 5: Solve for x
    x = 6,804.42/86.23
  6. Step 6: Final answer
    x = 78.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.