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Finding the Fourth Proportional to 74.00, 102.13 and 41.25

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Solution

The fourth proportional to 74.00, 102.13 and 41.25 is: 56.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.00 : 102.13 = 41.25 : x
  2. Step 2: Convert to fraction form
    74.00/102.13 = 41.25/x
  3. Step 3: Cross multiply
    74.00x = 102.13 × 41.25
  4. Step 4: Simplify right side
    74.00x = 4,213.14
  5. Step 5: Solve for x
    x = 4,213.14/74.00
  6. Step 6: Final answer
    x = 56.93

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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.