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Finding the Fourth Proportional to 21.87, 30.16 and 14.49

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Solution

The fourth proportional to 21.87, 30.16 and 14.49 is: 19.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    21.87 : 30.16 = 14.49 : x
  2. Step 2: Convert to fraction form
    21.87/30.16 = 14.49/x
  3. Step 3: Cross multiply
    21.87x = 30.16 × 14.49
  4. Step 4: Simplify right side
    21.87x = 437.02
  5. Step 5: Solve for x
    x = 437.02/21.87
  6. Step 6: Final answer
    x = 19.98

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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.