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Finding the Fourth Proportional to 49.86, 74.68 and 40.68

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Solution

The fourth proportional to 49.86, 74.68 and 40.68 is: 60.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.86 : 74.68 = 40.68 : x
  2. Step 2: Convert to fraction form
    49.86/74.68 = 40.68/x
  3. Step 3: Cross multiply
    49.86x = 74.68 × 40.68
  4. Step 4: Simplify right side
    49.86x = 3,037.98
  5. Step 5: Solve for x
    x = 3,037.98/49.86
  6. Step 6: Final answer
    x = 60.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.