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Finding the Fourth Proportional to 74.15, 102.05 and 67.25

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Solution

The fourth proportional to 74.15, 102.05 and 67.25 is: 92.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.15 : 102.05 = 67.25 : x
  2. Step 2: Convert to fraction form
    74.15/102.05 = 67.25/x
  3. Step 3: Cross multiply
    74.15x = 102.05 × 67.25
  4. Step 4: Simplify right side
    74.15x = 6,862.53
  5. Step 5: Solve for x
    x = 6,862.53/74.15
  6. Step 6: Final answer
    x = 92.55

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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.