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Finding the Fourth Proportional to 14.60, 20.14 and 9.74

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Solution

The fourth proportional to 14.60, 20.14 and 9.74 is: 13.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.60 : 20.14 = 9.74 : x
  2. Step 2: Convert to fraction form
    14.60/20.14 = 9.74/x
  3. Step 3: Cross multiply
    14.60x = 20.14 × 9.74
  4. Step 4: Simplify right side
    14.60x = 196.01
  5. Step 5: Solve for x
    x = 196.01/14.60
  6. Step 6: Final answer
    x = 13.43

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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.