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Finding the Fourth Proportional to 77.03, 106.34 and 56.27

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Solution

The fourth proportional to 77.03, 106.34 and 56.27 is: 77.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.03 : 106.34 = 56.27 : x
  2. Step 2: Convert to fraction form
    77.03/106.34 = 56.27/x
  3. Step 3: Cross multiply
    77.03x = 106.34 × 56.27
  4. Step 4: Simplify right side
    77.03x = 5,983.34
  5. Step 5: Solve for x
    x = 5,983.34/77.03
  6. Step 6: Final answer
    x = 77.68

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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.