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Finding the Fourth Proportional to 21.33, 31.86 and 15.30

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Solution

The fourth proportional to 21.33, 31.86 and 15.30 is: 22.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.33 : 31.86 = 15.30 : x
  2. Step 2: Convert to fraction form
    21.33/31.86 = 15.30/x
  3. Step 3: Cross multiply
    21.33x = 31.86 × 15.30
  4. Step 4: Simplify right side
    21.33x = 487.46
  5. Step 5: Solve for x
    x = 487.46/21.33
  6. Step 6: Final answer
    x = 22.85

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.