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Finding the Fourth Proportional to 14.14, 19.50 and 9.77

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Solution

The fourth proportional to 14.14, 19.50 and 9.77 is: 13.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.14 : 19.50 = 9.77 : x
  2. Step 2: Convert to fraction form
    14.14/19.50 = 9.77/x
  3. Step 3: Cross multiply
    14.14x = 19.50 × 9.77
  4. Step 4: Simplify right side
    14.14x = 190.52
  5. Step 5: Solve for x
    x = 190.52/14.14
  6. Step 6: Final answer
    x = 13.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.