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Finding the Fourth Proportional to 52.74, 79.04 and 36.47

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Solution

The fourth proportional to 52.74, 79.04 and 36.47 is: 54.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.74 : 79.04 = 36.47 : x
  2. Step 2: Convert to fraction form
    52.74/79.04 = 36.47/x
  3. Step 3: Cross multiply
    52.74x = 79.04 × 36.47
  4. Step 4: Simplify right side
    52.74x = 2,882.88
  5. Step 5: Solve for x
    x = 2,882.88/52.74
  6. Step 6: Final answer
    x = 54.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.