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Finding the Fourth Proportional to 19.74, 27.16 and 19.68

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Solution

The fourth proportional to 19.74, 27.16 and 19.68 is: 27.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.74 : 27.16 = 19.68 : x
  2. Step 2: Convert to fraction form
    19.74/27.16 = 19.68/x
  3. Step 3: Cross multiply
    19.74x = 27.16 × 19.68
  4. Step 4: Simplify right side
    19.74x = 534.51
  5. Step 5: Solve for x
    x = 534.51/19.74
  6. Step 6: Final answer
    x = 27.08

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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.