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Finding the Fourth Proportional to 78.37, 118.16 and 75.94

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Solution

The fourth proportional to 78.37, 118.16 and 75.94 is: 114.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.37 : 118.16 = 75.94 : x
  2. Step 2: Convert to fraction form
    78.37/118.16 = 75.94/x
  3. Step 3: Cross multiply
    78.37x = 118.16 × 75.94
  4. Step 4: Simplify right side
    78.37x = 8,972.68
  5. Step 5: Solve for x
    x = 8,972.68/78.37
  6. Step 6: Final answer
    x = 114.49

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.