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Finding the Fourth Proportional to 78.24, 107.94 and 53.68

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Solution

The fourth proportional to 78.24, 107.94 and 53.68 is: 74.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.24 : 107.94 = 53.68 : x
  2. Step 2: Convert to fraction form
    78.24/107.94 = 53.68/x
  3. Step 3: Cross multiply
    78.24x = 107.94 × 53.68
  4. Step 4: Simplify right side
    78.24x = 5,794.22
  5. Step 5: Solve for x
    x = 5,794.22/78.24
  6. Step 6: Final answer
    x = 74.06

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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.