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Finding the Fourth Proportional to 23.53, 35.31 and 23.05

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Solution

The fourth proportional to 23.53, 35.31 and 23.05 is: 34.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.53 : 35.31 = 23.05 : x
  2. Step 2: Convert to fraction form
    23.53/35.31 = 23.05/x
  3. Step 3: Cross multiply
    23.53x = 35.31 × 23.05
  4. Step 4: Simplify right side
    23.53x = 813.90
  5. Step 5: Solve for x
    x = 813.90/23.53
  6. Step 6: Final answer
    x = 34.59

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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.