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Finding the Fourth Proportional to 77.56, 106.56 and 69.76

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Solution

The fourth proportional to 77.56, 106.56 and 69.76 is: 95.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.56 : 106.56 = 69.76 : x
  2. Step 2: Convert to fraction form
    77.56/106.56 = 69.76/x
  3. Step 3: Cross multiply
    77.56x = 106.56 × 69.76
  4. Step 4: Simplify right side
    77.56x = 7,433.63
  5. Step 5: Solve for x
    x = 7,433.63/77.56
  6. Step 6: Final answer
    x = 95.84

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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.