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Finding the Fourth Proportional to 77.25, 116.42 and 72.84

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Solution

The fourth proportional to 77.25, 116.42 and 72.84 is: 109.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.25 : 116.42 = 72.84 : x
  2. Step 2: Convert to fraction form
    77.25/116.42 = 72.84/x
  3. Step 3: Cross multiply
    77.25x = 116.42 × 72.84
  4. Step 4: Simplify right side
    77.25x = 8,480.03
  5. Step 5: Solve for x
    x = 8,480.03/77.25
  6. Step 6: Final answer
    x = 109.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.