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Finding the Fourth Proportional to 22.34, 30.82 and 14.16

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Solution

The fourth proportional to 22.34, 30.82 and 14.16 is: 19.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    22.34 : 30.82 = 14.16 : x
  2. Step 2: Convert to fraction form
    22.34/30.82 = 14.16/x
  3. Step 3: Cross multiply
    22.34x = 30.82 × 14.16
  4. Step 4: Simplify right side
    22.34x = 436.51
  5. Step 5: Solve for x
    x = 436.51/22.34
  6. Step 6: Final answer
    x = 19.54

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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.