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Finding the Fourth Proportional to 78.37, 108.07 and 73.78

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Solution

The fourth proportional to 78.37, 108.07 and 73.78 is: 101.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.37 : 108.07 = 73.78 : x
  2. Step 2: Convert to fraction form
    78.37/108.07 = 73.78/x
  3. Step 3: Cross multiply
    78.37x = 108.07 × 73.78
  4. Step 4: Simplify right side
    78.37x = 7,972.95
  5. Step 5: Solve for x
    x = 7,972.95/78.37
  6. Step 6: Final answer
    x = 101.74

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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.