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Finding the Fourth Proportional to 86.84, 119.76 and 54.02

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Solution

The fourth proportional to 86.84, 119.76 and 54.02 is: 74.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.84 : 119.76 = 54.02 : x
  2. Step 2: Convert to fraction form
    86.84/119.76 = 54.02/x
  3. Step 3: Cross multiply
    86.84x = 119.76 × 54.02
  4. Step 4: Simplify right side
    86.84x = 6,469.44
  5. Step 5: Solve for x
    x = 6,469.44/86.84
  6. Step 6: Final answer
    x = 74.50

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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.