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Finding the Fourth Proportional to 59.64, 82.29 and 33.76

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Solution

The fourth proportional to 59.64, 82.29 and 33.76 is: 46.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.64 : 82.29 = 33.76 : x
  2. Step 2: Convert to fraction form
    59.64/82.29 = 33.76/x
  3. Step 3: Cross multiply
    59.64x = 82.29 × 33.76
  4. Step 4: Simplify right side
    59.64x = 2,778.11
  5. Step 5: Solve for x
    x = 2,778.11/59.64
  6. Step 6: Final answer
    x = 46.59

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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.