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Finding the Fourth Proportional to 78.26, 107.78 and 56.39

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Solution

The fourth proportional to 78.26, 107.78 and 56.39 is: 77.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.26 : 107.78 = 56.39 : x
  2. Step 2: Convert to fraction form
    78.26/107.78 = 56.39/x
  3. Step 3: Cross multiply
    78.26x = 107.78 × 56.39
  4. Step 4: Simplify right side
    78.26x = 6,076.89
  5. Step 5: Solve for x
    x = 6,076.89/78.26
  6. Step 6: Final answer
    x = 77.66

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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.