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Finding the Fourth Proportional to 21.23, 29.31 and 16.32

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Solution

The fourth proportional to 21.23, 29.31 and 16.32 is: 22.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.23 : 29.31 = 16.32 : x
  2. Step 2: Convert to fraction form
    21.23/29.31 = 16.32/x
  3. Step 3: Cross multiply
    21.23x = 29.31 × 16.32
  4. Step 4: Simplify right side
    21.23x = 478.31
  5. Step 5: Solve for x
    x = 478.31/21.23
  6. Step 6: Final answer
    x = 22.53

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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.