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Finding the Fourth Proportional to 21.51, 29.64 and 16.05

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Solution

The fourth proportional to 21.51, 29.64 and 16.05 is: 22.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.51 : 29.64 = 16.05 : x
  2. Step 2: Convert to fraction form
    21.51/29.64 = 16.05/x
  3. Step 3: Cross multiply
    21.51x = 29.64 × 16.05
  4. Step 4: Simplify right side
    21.51x = 475.72
  5. Step 5: Solve for x
    x = 475.72/21.51
  6. Step 6: Final answer
    x = 22.12

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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.