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Finding the Fourth Proportional to 86.23, 119.00 and 49.39

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Solution

The fourth proportional to 86.23, 119.00 and 49.39 is: 68.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.23 : 119.00 = 49.39 : x
  2. Step 2: Convert to fraction form
    86.23/119.00 = 49.39/x
  3. Step 3: Cross multiply
    86.23x = 119.00 × 49.39
  4. Step 4: Simplify right side
    86.23x = 5,877.24
  5. Step 5: Solve for x
    x = 5,877.24/86.23
  6. Step 6: Final answer
    x = 68.16

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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.