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Finding the Fourth Proportional to 59.24, 81.68 and 40.83

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Solution

The fourth proportional to 59.24, 81.68 and 40.83 is: 56.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.24 : 81.68 = 40.83 : x
  2. Step 2: Convert to fraction form
    59.24/81.68 = 40.83/x
  3. Step 3: Cross multiply
    59.24x = 81.68 × 40.83
  4. Step 4: Simplify right side
    59.24x = 3,334.79
  5. Step 5: Solve for x
    x = 3,334.79/59.24
  6. Step 6: Final answer
    x = 56.30

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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.