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Finding the Fourth Proportional to 77.55, 106.82 and 56.77

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Solution

The fourth proportional to 77.55, 106.82 and 56.77 is: 78.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.55 : 106.82 = 56.77 : x
  2. Step 2: Convert to fraction form
    77.55/106.82 = 56.77/x
  3. Step 3: Cross multiply
    77.55x = 106.82 × 56.77
  4. Step 4: Simplify right side
    77.55x = 6,063.64
  5. Step 5: Solve for x
    x = 6,063.64/77.55
  6. Step 6: Final answer
    x = 78.20

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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.