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Finding the Fourth Proportional to 23.10, 31.90 and 15.36

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Solution

The fourth proportional to 23.10, 31.90 and 15.36 is: 21.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    23.10 : 31.90 = 15.36 : x
  2. Step 2: Convert to fraction form
    23.10/31.90 = 15.36/x
  3. Step 3: Cross multiply
    23.10x = 31.90 × 15.36
  4. Step 4: Simplify right side
    23.10x = 489.98
  5. Step 5: Solve for x
    x = 489.98/23.10
  6. Step 6: Final answer
    x = 21.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.