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Finding the Fourth Proportional to 59.77, 82.66 and 57.05

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Solution

The fourth proportional to 59.77, 82.66 and 57.05 is: 78.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.77 : 82.66 = 57.05 : x
  2. Step 2: Convert to fraction form
    59.77/82.66 = 57.05/x
  3. Step 3: Cross multiply
    59.77x = 82.66 × 57.05
  4. Step 4: Simplify right side
    59.77x = 4,716.24
  5. Step 5: Solve for x
    x = 4,716.24/59.77
  6. Step 6: Final answer
    x = 78.90

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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.