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Finding the Fourth Proportional to 86.75, 119.67 and 54.01

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Solution

The fourth proportional to 86.75, 119.67 and 54.01 is: 74.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.75 : 119.67 = 54.01 : x
  2. Step 2: Convert to fraction form
    86.75/119.67 = 54.01/x
  3. Step 3: Cross multiply
    86.75x = 119.67 × 54.01
  4. Step 4: Simplify right side
    86.75x = 6,462.87
  5. Step 5: Solve for x
    x = 6,462.87/86.75
  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.