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Finding the Fourth Proportional to 77.04, 116.16 and 73.44

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Solution

The fourth proportional to 77.04, 116.16 and 73.44 is: 110.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.04 : 116.16 = 73.44 : x
  2. Step 2: Convert to fraction form
    77.04/116.16 = 73.44/x
  3. Step 3: Cross multiply
    77.04x = 116.16 × 73.44
  4. Step 4: Simplify right side
    77.04x = 8,530.79
  5. Step 5: Solve for x
    x = 8,530.79/77.04
  6. Step 6: Final answer
    x = 110.73

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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.