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Finding the Fourth Proportional to 19.60, 27.06 and 14.74

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Solution

The fourth proportional to 19.60, 27.06 and 14.74 is: 20.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.60 : 27.06 = 14.74 : x
  2. Step 2: Convert to fraction form
    19.60/27.06 = 14.74/x
  3. Step 3: Cross multiply
    19.60x = 27.06 × 14.74
  4. Step 4: Simplify right side
    19.60x = 398.86
  5. Step 5: Solve for x
    x = 398.86/19.60
  6. Step 6: Final answer
    x = 20.35

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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.