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Finding the Fourth Proportional to 21.78, 32.67 and 15.37

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Solution

The fourth proportional to 21.78, 32.67 and 15.37 is: 23.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.78 : 32.67 = 15.37 : x
  2. Step 2: Convert to fraction form
    21.78/32.67 = 15.37/x
  3. Step 3: Cross multiply
    21.78x = 32.67 × 15.37
  4. Step 4: Simplify right side
    21.78x = 502.06
  5. Step 5: Solve for x
    x = 502.06/21.78
  6. Step 6: Final answer
    x = 23.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.