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Finding the Fourth Proportional to 23.28, 32.02 and 23.05

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Solution

The fourth proportional to 23.28, 32.02 and 23.05 is: 31.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.28 : 32.02 = 23.05 : x
  2. Step 2: Convert to fraction form
    23.28/32.02 = 23.05/x
  3. Step 3: Cross multiply
    23.28x = 32.02 × 23.05
  4. Step 4: Simplify right side
    23.28x = 738.06
  5. Step 5: Solve for x
    x = 738.06/23.28
  6. Step 6: Final answer
    x = 31.70

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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.