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Finding the Fourth Proportional to 59.24, 81.86 and 46.28

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Solution

The fourth proportional to 59.24, 81.86 and 46.28 is: 63.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.24 : 81.86 = 46.28 : x
  2. Step 2: Convert to fraction form
    59.24/81.86 = 46.28/x
  3. Step 3: Cross multiply
    59.24x = 81.86 × 46.28
  4. Step 4: Simplify right side
    59.24x = 3,788.48
  5. Step 5: Solve for x
    x = 3,788.48/59.24
  6. Step 6: Final answer
    x = 63.95

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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.