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Finding the Fourth Proportional to 86.76, 119.74 and 52.26

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Solution

The fourth proportional to 86.76, 119.74 and 52.26 is: 72.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.76 : 119.74 = 52.26 : x
  2. Step 2: Convert to fraction form
    86.76/119.74 = 52.26/x
  3. Step 3: Cross multiply
    86.76x = 119.74 × 52.26
  4. Step 4: Simplify right side
    86.76x = 6,257.61
  5. Step 5: Solve for x
    x = 6,257.61/86.76
  6. Step 6: Final answer
    x = 72.13

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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.