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Finding the Fourth Proportional to 82.79, 114.32 and 78.24

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Solution

The fourth proportional to 82.79, 114.32 and 78.24 is: 108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.79 : 114.32 = 78.24 : x
  2. Step 2: Convert to fraction form
    82.79/114.32 = 78.24/x
  3. Step 3: Cross multiply
    82.79x = 114.32 × 78.24
  4. Step 4: Simplify right side
    82.79x = 8,944.40
  5. Step 5: Solve for x
    x = 8,944.40/82.79
  6. Step 6: Final answer
    x = 108.04

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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.