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Finding the Fourth Proportional to 74.94, 102.85 and 68.82

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Solution

The fourth proportional to 74.94, 102.85 and 68.82 is: 94.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.94 : 102.85 = 68.82 : x
  2. Step 2: Convert to fraction form
    74.94/102.85 = 68.82/x
  3. Step 3: Cross multiply
    74.94x = 102.85 × 68.82
  4. Step 4: Simplify right side
    74.94x = 7,077.79
  5. Step 5: Solve for x
    x = 7,077.79/74.94
  6. Step 6: Final answer
    x = 94.45

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.