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Finding the Fourth Proportional to 23.25, 32.10 and 14.64

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Solution

The fourth proportional to 23.25, 32.10 and 14.64 is: 20.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.25 : 32.10 = 14.64 : x
  2. Step 2: Convert to fraction form
    23.25/32.10 = 14.64/x
  3. Step 3: Cross multiply
    23.25x = 32.10 × 14.64
  4. Step 4: Simplify right side
    23.25x = 469.94
  5. Step 5: Solve for x
    x = 469.94/23.25
  6. Step 6: Final answer
    x = 20.21

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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.