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Finding the Fourth Proportional to 59.62, 82.24 and 35.06

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Solution

The fourth proportional to 59.62, 82.24 and 35.06 is: 48.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.62 : 82.24 = 35.06 : x
  2. Step 2: Convert to fraction form
    59.62/82.24 = 35.06/x
  3. Step 3: Cross multiply
    59.62x = 82.24 × 35.06
  4. Step 4: Simplify right side
    59.62x = 2,882.97
  5. Step 5: Solve for x
    x = 2,882.97/59.62
  6. Step 6: Final answer
    x = 48.35

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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.