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Finding the Fourth Proportional to 15.91, 23.82 and 15.16

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Solution

The fourth proportional to 15.91, 23.82 and 15.16 is: 22.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.91 : 23.82 = 15.16 : x
  2. Step 2: Convert to fraction form
    15.91/23.82 = 15.16/x
  3. Step 3: Cross multiply
    15.91x = 23.82 × 15.16
  4. Step 4: Simplify right side
    15.91x = 361.11
  5. Step 5: Solve for x
    x = 361.11/15.91
  6. Step 6: Final answer
    x = 22.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.