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Finding the Fourth Proportional to 86.35, 119.15 and 47.54

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Solution

The fourth proportional to 86.35, 119.15 and 47.54 is: 65.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.35 : 119.15 = 47.54 : x
  2. Step 2: Convert to fraction form
    86.35/119.15 = 47.54/x
  3. Step 3: Cross multiply
    86.35x = 119.15 × 47.54
  4. Step 4: Simplify right side
    86.35x = 5,663.91
  5. Step 5: Solve for x
    x = 5,663.91/86.35
  6. Step 6: Final answer
    x = 65.59

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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.