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Finding the Fourth Proportional to 23.64, 32.40 and 23.42

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Solution

The fourth proportional to 23.64, 32.40 and 23.42 is: 32.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.64 : 32.40 = 23.42 : x
  2. Step 2: Convert to fraction form
    23.64/32.40 = 23.42/x
  3. Step 3: Cross multiply
    23.64x = 32.40 × 23.42
  4. Step 4: Simplify right side
    23.64x = 758.65
  5. Step 5: Solve for x
    x = 758.65/23.64
  6. Step 6: Final answer
    x = 32.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.