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Finding the Fourth Proportional to 23.21, 32.01 and 15.93

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Solution

The fourth proportional to 23.21, 32.01 and 15.93 is: 21.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.21 : 32.01 = 15.93 : x
  2. Step 2: Convert to fraction form
    23.21/32.01 = 15.93/x
  3. Step 3: Cross multiply
    23.21x = 32.01 × 15.93
  4. Step 4: Simplify right side
    23.21x = 509.92
  5. Step 5: Solve for x
    x = 509.92/23.21
  6. Step 6: Final answer
    x = 21.97

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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.