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Finding the Fourth Proportional to 78.99, 108.97 and 49.48

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Solution

The fourth proportional to 78.99, 108.97 and 49.48 is: 68.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.99 : 108.97 = 49.48 : x
  2. Step 2: Convert to fraction form
    78.99/108.97 = 49.48/x
  3. Step 3: Cross multiply
    78.99x = 108.97 × 49.48
  4. Step 4: Simplify right side
    78.99x = 5,391.04
  5. Step 5: Solve for x
    x = 5,391.04/78.99
  6. Step 6: Final answer
    x = 68.25

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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.