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Finding the Fourth Proportional to 20.46, 30.57 and 15.91

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Solution

The fourth proportional to 20.46, 30.57 and 15.91 is: 23.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.46 : 30.57 = 15.91 : x
  2. Step 2: Convert to fraction form
    20.46/30.57 = 15.91/x
  3. Step 3: Cross multiply
    20.46x = 30.57 × 15.91
  4. Step 4: Simplify right side
    20.46x = 486.23
  5. Step 5: Solve for x
    x = 486.23/20.46
  6. Step 6: Final answer
    x = 23.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.