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Finding the Fourth Proportional to 77.21, 106.51 and 51.34

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Solution

The fourth proportional to 77.21, 106.51 and 51.34 is: 70.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.21 : 106.51 = 51.34 : x
  2. Step 2: Convert to fraction form
    77.21/106.51 = 51.34/x
  3. Step 3: Cross multiply
    77.21x = 106.51 × 51.34
  4. Step 4: Simplify right side
    77.21x = 5,468.22
  5. Step 5: Solve for x
    x = 5,468.22/77.21
  6. Step 6: Final answer
    x = 70.82

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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.