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Finding the Fourth Proportional to 59.85, 82.97 and 56.77

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Solution

The fourth proportional to 59.85, 82.97 and 56.77 is: 78.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.85 : 82.97 = 56.77 : x
  2. Step 2: Convert to fraction form
    59.85/82.97 = 56.77/x
  3. Step 3: Cross multiply
    59.85x = 82.97 × 56.77
  4. Step 4: Simplify right side
    59.85x = 4,710.21
  5. Step 5: Solve for x
    x = 4,710.21/59.85
  6. Step 6: Final answer
    x = 78.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.