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Finding the Fourth Proportional to 74.30, 102.51 and 41.54

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Solution

The fourth proportional to 74.30, 102.51 and 41.54 is: 57.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.30 : 102.51 = 41.54 : x
  2. Step 2: Convert to fraction form
    74.30/102.51 = 41.54/x
  3. Step 3: Cross multiply
    74.30x = 102.51 × 41.54
  4. Step 4: Simplify right side
    74.30x = 4,257.75
  5. Step 5: Solve for x
    x = 4,257.75/74.30
  6. Step 6: Final answer
    x = 57.31

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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.