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Finding the Fourth Proportional to 86.96, 120.00 and 48.14

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Solution

The fourth proportional to 86.96, 120.00 and 48.14 is: 66.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.96 : 120.00 = 48.14 : x
  2. Step 2: Convert to fraction form
    86.96/120.00 = 48.14/x
  3. Step 3: Cross multiply
    86.96x = 120.00 × 48.14
  4. Step 4: Simplify right side
    86.96x = 5,776.92
  5. Step 5: Solve for x
    x = 5,776.92/86.96
  6. Step 6: Final answer
    x = 66.44

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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.