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Finding the Fourth Proportional to 52.13, 71.94 and 37.59

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Solution

The fourth proportional to 52.13, 71.94 and 37.59 is: 51.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.13 : 71.94 = 37.59 : x
  2. Step 2: Convert to fraction form
    52.13/71.94 = 37.59/x
  3. Step 3: Cross multiply
    52.13x = 71.94 × 37.59
  4. Step 4: Simplify right side
    52.13x = 2,704.22
  5. Step 5: Solve for x
    x = 2,704.22/52.13
  6. Step 6: Final answer
    x = 51.88

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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.