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Finding the Fourth Proportional to 51.63, 71.37 and 41.91

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Solution

The fourth proportional to 51.63, 71.37 and 41.91 is: 57.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.63 : 71.37 = 41.91 : x
  2. Step 2: Convert to fraction form
    51.63/71.37 = 41.91/x
  3. Step 3: Cross multiply
    51.63x = 71.37 × 41.91
  4. Step 4: Simplify right side
    51.63x = 2,991.12
  5. Step 5: Solve for x
    x = 2,991.12/51.63
  6. Step 6: Final answer
    x = 57.93

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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.