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Finding the Fourth Proportional to 41.99, 58.24 and 40.45

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Solution

The fourth proportional to 41.99, 58.24 and 40.45 is: 56.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.99 : 58.24 = 40.45 : x
  2. Step 2: Convert to fraction form
    41.99/58.24 = 40.45/x
  3. Step 3: Cross multiply
    41.99x = 58.24 × 40.45
  4. Step 4: Simplify right side
    41.99x = 2,355.86
  5. Step 5: Solve for x
    x = 2,355.86/41.99
  6. Step 6: Final answer
    x = 56.11

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.