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Finding the Fourth Proportional to 74.08, 102.27 and 51.97

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Solution

The fourth proportional to 74.08, 102.27 and 51.97 is: 71.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.08 : 102.27 = 51.97 : x
  2. Step 2: Convert to fraction form
    74.08/102.27 = 51.97/x
  3. Step 3: Cross multiply
    74.08x = 102.27 × 51.97
  4. Step 4: Simplify right side
    74.08x = 5,314.81
  5. Step 5: Solve for x
    x = 5,314.81/74.08
  6. Step 6: Final answer
    x = 71.74

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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.