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Finding the Fourth Proportional to 77.12, 106.38 and 55.34

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Solution

The fourth proportional to 77.12, 106.38 and 55.34 is: 76.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.12 : 106.38 = 55.34 : x
  2. Step 2: Convert to fraction form
    77.12/106.38 = 55.34/x
  3. Step 3: Cross multiply
    77.12x = 106.38 × 55.34
  4. Step 4: Simplify right side
    77.12x = 5,887.07
  5. Step 5: Solve for x
    x = 5,887.07/77.12
  6. Step 6: Final answer
    x = 76.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.