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Finding the Fourth Proportional to 14.98, 20.57 and 14.42

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Solution

The fourth proportional to 14.98, 20.57 and 14.42 is: 19.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.98 : 20.57 = 14.42 : x
  2. Step 2: Convert to fraction form
    14.98/20.57 = 14.42/x
  3. Step 3: Cross multiply
    14.98x = 20.57 × 14.42
  4. Step 4: Simplify right side
    14.98x = 296.55
  5. Step 5: Solve for x
    x = 296.55/14.98
  6. Step 6: Final answer
    x = 19.80

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.