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Finding the Fourth Proportional to 19.82, 27.35 and 11.07

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Solution

The fourth proportional to 19.82, 27.35 and 11.07 is: 15.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.82 : 27.35 = 11.07 : x
  2. Step 2: Convert to fraction form
    19.82/27.35 = 11.07/x
  3. Step 3: Cross multiply
    19.82x = 27.35 × 11.07
  4. Step 4: Simplify right side
    19.82x = 302.81
  5. Step 5: Solve for x
    x = 302.81/19.82
  6. Step 6: Final answer
    x = 15.28

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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.