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Finding the Fourth Proportional to 86.08, 118.68 and 56.96

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Solution

The fourth proportional to 86.08, 118.68 and 56.96 is: 78.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.08 : 118.68 = 56.96 : x
  2. Step 2: Convert to fraction form
    86.08/118.68 = 56.96/x
  3. Step 3: Cross multiply
    86.08x = 118.68 × 56.96
  4. Step 4: Simplify right side
    86.08x = 6,760.01
  5. Step 5: Solve for x
    x = 6,760.01/86.08
  6. Step 6: Final answer
    x = 78.53

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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.