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Finding the Fourth Proportional to 59.53, 89.17 and 33.77

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Solution

The fourth proportional to 59.53, 89.17 and 33.77 is: 50.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.53 : 89.17 = 33.77 : x
  2. Step 2: Convert to fraction form
    59.53/89.17 = 33.77/x
  3. Step 3: Cross multiply
    59.53x = 89.17 × 33.77
  4. Step 4: Simplify right side
    59.53x = 3,011.26
  5. Step 5: Solve for x
    x = 3,011.26/59.53
  6. Step 6: Final answer
    x = 50.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.