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Finding the Fourth Proportional to 23.58, 32.31 and 23.49

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Solution

The fourth proportional to 23.58, 32.31 and 23.49 is: 32.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.58 : 32.31 = 23.49 : x
  2. Step 2: Convert to fraction form
    23.58/32.31 = 23.49/x
  3. Step 3: Cross multiply
    23.58x = 32.31 × 23.49
  4. Step 4: Simplify right side
    23.58x = 758.96
  5. Step 5: Solve for x
    x = 758.96/23.58
  6. Step 6: Final answer
    x = 32.19

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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.