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Finding the Fourth Proportional to 15.14, 22.70 and 10.31

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Solution

The fourth proportional to 15.14, 22.70 and 10.31 is: 15.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.14 : 22.70 = 10.31 : x
  2. Step 2: Convert to fraction form
    15.14/22.70 = 10.31/x
  3. Step 3: Cross multiply
    15.14x = 22.70 × 10.31
  4. Step 4: Simplify right side
    15.14x = 234.04
  5. Step 5: Solve for x
    x = 234.04/15.14
  6. Step 6: Final answer
    x = 15.46

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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.