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Finding the Fourth Proportional to 37.47, 51.72 and 23.67

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Solution

The fourth proportional to 37.47, 51.72 and 23.67 is: 32.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    37.47 : 51.72 = 23.67 : x
  2. Step 2: Convert to fraction form
    37.47/51.72 = 23.67/x
  3. Step 3: Cross multiply
    37.47x = 51.72 × 23.67
  4. Step 4: Simplify right side
    37.47x = 1,224.21
  5. Step 5: Solve for x
    x = 1,224.21/37.47
  6. Step 6: Final answer
    x = 32.67

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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.