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Finding the Fourth Proportional to 59.91, 82.59 and 46.05

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Solution

The fourth proportional to 59.91, 82.59 and 46.05 is: 63.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.91 : 82.59 = 46.05 : x
  2. Step 2: Convert to fraction form
    59.91/82.59 = 46.05/x
  3. Step 3: Cross multiply
    59.91x = 82.59 × 46.05
  4. Step 4: Simplify right side
    59.91x = 3,803.27
  5. Step 5: Solve for x
    x = 3,803.27/59.91
  6. Step 6: Final answer
    x = 63.48

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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.