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Finding the Fourth Proportional to 78.00, 107.64 and 50.37

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Solution

The fourth proportional to 78.00, 107.64 and 50.37 is: 69.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.00 : 107.64 = 50.37 : x
  2. Step 2: Convert to fraction form
    78.00/107.64 = 50.37/x
  3. Step 3: Cross multiply
    78.00x = 107.64 × 50.37
  4. Step 4: Simplify right side
    78.00x = 5,422.03
  5. Step 5: Solve for x
    x = 5,422.03/78.00
  6. Step 6: Final answer
    x = 69.51

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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.