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Finding the Fourth Proportional to 86.34, 119.15 and 48.99

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Solution

The fourth proportional to 86.34, 119.15 and 48.99 is: 67.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.34 : 119.15 = 48.99 : x
  2. Step 2: Convert to fraction form
    86.34/119.15 = 48.99/x
  3. Step 3: Cross multiply
    86.34x = 119.15 × 48.99
  4. Step 4: Simplify right side
    86.34x = 5,837.16
  5. Step 5: Solve for x
    x = 5,837.16/86.34
  6. Step 6: Final answer
    x = 67.61

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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.