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Finding the Fourth Proportional to 52.72, 79.14 and 36.42

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Solution

The fourth proportional to 52.72, 79.14 and 36.42 is: 54.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.72 : 79.14 = 36.42 : x
  2. Step 2: Convert to fraction form
    52.72/79.14 = 36.42/x
  3. Step 3: Cross multiply
    52.72x = 79.14 × 36.42
  4. Step 4: Simplify right side
    52.72x = 2,882.28
  5. Step 5: Solve for x
    x = 2,882.28/52.72
  6. Step 6: Final answer
    x = 54.67

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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.