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Finding the Fourth Proportional to 14.55, 19.98 and 14.14

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Solution

The fourth proportional to 14.55, 19.98 and 14.14 is: 19.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.55 : 19.98 = 14.14 : x
  2. Step 2: Convert to fraction form
    14.55/19.98 = 14.14/x
  3. Step 3: Cross multiply
    14.55x = 19.98 × 14.14
  4. Step 4: Simplify right side
    14.55x = 282.52
  5. Step 5: Solve for x
    x = 282.52/14.55
  6. Step 6: Final answer
    x = 19.42

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Why These Related Problems?

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