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Finding the Fourth Proportional to 74.00, 102.13 and 41.27

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Solution

The fourth proportional to 74.00, 102.13 and 41.27 is: 56.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.00 : 102.13 = 41.27 : x
  2. Step 2: Convert to fraction form
    74.00/102.13 = 41.27/x
  3. Step 3: Cross multiply
    74.00x = 102.13 × 41.27
  4. Step 4: Simplify right side
    74.00x = 4,214.29
  5. Step 5: Solve for x
    x = 4,214.29/74.00
  6. Step 6: Final answer
    x = 56.95

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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.