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Finding the Fourth Proportional to 78.30, 107.97 and 77.52

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Solution

The fourth proportional to 78.30, 107.97 and 77.52 is: 106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.30 : 107.97 = 77.52 : x
  2. Step 2: Convert to fraction form
    78.30/107.97 = 77.52/x
  3. Step 3: Cross multiply
    78.30x = 107.97 × 77.52
  4. Step 4: Simplify right side
    78.30x = 8,369.83
  5. Step 5: Solve for x
    x = 8,369.83/78.30
  6. Step 6: Final answer
    x = 106.89

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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.