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Finding the Fourth Proportional to 15.68, 23.64 and 14.42

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Solution

The fourth proportional to 15.68, 23.64 and 14.42 is: 21.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.68 : 23.64 = 14.42 : x
  2. Step 2: Convert to fraction form
    15.68/23.64 = 14.42/x
  3. Step 3: Cross multiply
    15.68x = 23.64 × 14.42
  4. Step 4: Simplify right side
    15.68x = 340.79
  5. Step 5: Solve for x
    x = 340.79/15.68
  6. Step 6: Final answer
    x = 21.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.