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Finding the Fourth Proportional to 77.62, 116.32 and 72.23

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Solution

The fourth proportional to 77.62, 116.32 and 72.23 is: 108.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.62 : 116.32 = 72.23 : x
  2. Step 2: Convert to fraction form
    77.62/116.32 = 72.23/x
  3. Step 3: Cross multiply
    77.62x = 116.32 × 72.23
  4. Step 4: Simplify right side
    77.62x = 8,401.79
  5. Step 5: Solve for x
    x = 8,401.79/77.62
  6. Step 6: Final answer
    x = 108.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.