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Finding the Fourth Proportional to 59.33, 81.84 and 38.35

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Solution

The fourth proportional to 59.33, 81.84 and 38.35 is: 52.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.33 : 81.84 = 38.35 : x
  2. Step 2: Convert to fraction form
    59.33/81.84 = 38.35/x
  3. Step 3: Cross multiply
    59.33x = 81.84 × 38.35
  4. Step 4: Simplify right side
    59.33x = 3,138.77
  5. Step 5: Solve for x
    x = 3,138.77/59.33
  6. Step 6: Final answer
    x = 52.90

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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.