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Finding the Fourth Proportional to 74.38, 102.64 and 41.63

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Solution

The fourth proportional to 74.38, 102.64 and 41.63 is: 57.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.38 : 102.64 = 41.63 : x
  2. Step 2: Convert to fraction form
    74.38/102.64 = 41.63/x
  3. Step 3: Cross multiply
    74.38x = 102.64 × 41.63
  4. Step 4: Simplify right side
    74.38x = 4,273.01
  5. Step 5: Solve for x
    x = 4,273.01/74.38
  6. Step 6: Final answer
    x = 57.45

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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.