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Finding the Fourth Proportional to 77.16, 105.73 and 77.04

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Solution

The fourth proportional to 77.16, 105.73 and 77.04 is: 105.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.16 : 105.73 = 77.04 : x
  2. Step 2: Convert to fraction form
    77.16/105.73 = 77.04/x
  3. Step 3: Cross multiply
    77.16x = 105.73 × 77.04
  4. Step 4: Simplify right side
    77.16x = 8,145.44
  5. Step 5: Solve for x
    x = 8,145.44/77.16
  6. Step 6: Final answer
    x = 105.57

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.