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Finding the Fourth Proportional to 23.21, 34.77 and 14.16

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Solution

The fourth proportional to 23.21, 34.77 and 14.16 is: 21.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.21 : 34.77 = 14.16 : x
  2. Step 2: Convert to fraction form
    23.21/34.77 = 14.16/x
  3. Step 3: Cross multiply
    23.21x = 34.77 × 14.16
  4. Step 4: Simplify right side
    23.21x = 492.34
  5. Step 5: Solve for x
    x = 492.34/23.21
  6. Step 6: Final answer
    x = 21.21

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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.