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Finding the Fourth Proportional to 59.79, 82.51 and 33.91

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Solution

The fourth proportional to 59.79, 82.51 and 33.91 is: 46.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.79 : 82.51 = 33.91 : x
  2. Step 2: Convert to fraction form
    59.79/82.51 = 33.91/x
  3. Step 3: Cross multiply
    59.79x = 82.51 × 33.91
  4. Step 4: Simplify right side
    59.79x = 2,797.91
  5. Step 5: Solve for x
    x = 2,797.91/59.79
  6. Step 6: Final answer
    x = 46.80

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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.