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Finding the Fourth Proportional to 86.50, 119.37 and 52

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Solution

The fourth proportional to 86.50, 119.37 and 52 is: 71.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.50 : 119.37 = 52 : x
  2. Step 2: Convert to fraction form
    86.50/119.37 = 52/x
  3. Step 3: Cross multiply
    86.50x = 119.37 × 52
  4. Step 4: Simplify right side
    86.50x = 6,207.24
  5. Step 5: Solve for x
    x = 6,207.24/86.50
  6. Step 6: Final answer
    x = 71.76

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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.