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Finding the Fourth Proportional to 21.09, 31.58 and 16.52

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Solution

The fourth proportional to 21.09, 31.58 and 16.52 is: 24.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.09 : 31.58 = 16.52 : x
  2. Step 2: Convert to fraction form
    21.09/31.58 = 16.52/x
  3. Step 3: Cross multiply
    21.09x = 31.58 × 16.52
  4. Step 4: Simplify right side
    21.09x = 521.46
  5. Step 5: Solve for x
    x = 521.46/21.09
  6. Step 6: Final answer
    x = 24.73

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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.