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Finding the Fourth Proportional to 23.32, 32.10 and 20.08

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Solution

The fourth proportional to 23.32, 32.10 and 20.08 is: 27.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.32 : 32.10 = 20.08 : x
  2. Step 2: Convert to fraction form
    23.32/32.10 = 20.08/x
  3. Step 3: Cross multiply
    23.32x = 32.10 × 20.08
  4. Step 4: Simplify right side
    23.32x = 644.57
  5. Step 5: Solve for x
    x = 644.57/23.32
  6. Step 6: Final answer
    x = 27.64

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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.