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Finding the Fourth Proportional to 77.78, 107.31 and 46.68

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Solution

The fourth proportional to 77.78, 107.31 and 46.68 is: 64.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    77.78 : 107.31 = 46.68 : x
  2. Step 2: Convert to fraction form
    77.78/107.31 = 46.68/x
  3. Step 3: Cross multiply
    77.78x = 107.31 × 46.68
  4. Step 4: Simplify right side
    77.78x = 5,009.23
  5. Step 5: Solve for x
    x = 5,009.23/77.78
  6. Step 6: Final answer
    x = 64.40

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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.