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Finding the Fourth Proportional to 53.26, 73.50 and 37.67

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Solution

The fourth proportional to 53.26, 73.50 and 37.67 is: 51.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.26 : 73.50 = 37.67 : x
  2. Step 2: Convert to fraction form
    53.26/73.50 = 37.67/x
  3. Step 3: Cross multiply
    53.26x = 73.50 × 37.67
  4. Step 4: Simplify right side
    53.26x = 2,768.75
  5. Step 5: Solve for x
    x = 2,768.75/53.26
  6. Step 6: Final answer
    x = 51.99

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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.