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Finding the Fourth Proportional to 77.42, 116.16 and 73.82

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Solution

The fourth proportional to 77.42, 116.16 and 73.82 is: 110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.42 : 116.16 = 73.82 : x
  2. Step 2: Convert to fraction form
    77.42/116.16 = 73.82/x
  3. Step 3: Cross multiply
    77.42x = 116.16 × 73.82
  4. Step 4: Simplify right side
    77.42x = 8,574.93
  5. Step 5: Solve for x
    x = 8,574.93/77.42
  6. Step 6: Final answer
    x = 110.76

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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.