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Finding the Fourth Proportional to 77.21, 115.71 and 41.16

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Solution

The fourth proportional to 77.21, 115.71 and 41.16 is: 61.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.21 : 115.71 = 41.16 : x
  2. Step 2: Convert to fraction form
    77.21/115.71 = 41.16/x
  3. Step 3: Cross multiply
    77.21x = 115.71 × 41.16
  4. Step 4: Simplify right side
    77.21x = 4,762.62
  5. Step 5: Solve for x
    x = 4,762.62/77.21
  6. Step 6: Final answer
    x = 61.68

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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.