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Finding the Fourth Proportional to 49.85, 68.76 and 30.45

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Solution

The fourth proportional to 49.85, 68.76 and 30.45 is: 42.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.85 : 68.76 = 30.45 : x
  2. Step 2: Convert to fraction form
    49.85/68.76 = 30.45/x
  3. Step 3: Cross multiply
    49.85x = 68.76 × 30.45
  4. Step 4: Simplify right side
    49.85x = 2,093.74
  5. Step 5: Solve for x
    x = 2,093.74/49.85
  6. Step 6: Final answer
    x = 42.00

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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.