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Finding the Fourth Proportional to 49.77, 68.05 and 47.88

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Solution

The fourth proportional to 49.77, 68.05 and 47.88 is: 65.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.77 : 68.05 = 47.88 : x
  2. Step 2: Convert to fraction form
    49.77/68.05 = 47.88/x
  3. Step 3: Cross multiply
    49.77x = 68.05 × 47.88
  4. Step 4: Simplify right side
    49.77x = 3,258.23
  5. Step 5: Solve for x
    x = 3,258.23/49.77
  6. Step 6: Final answer
    x = 65.47

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.