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Finding the Fourth Proportional to 15.45, 23.12 and 13.03

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Solution

The fourth proportional to 15.45, 23.12 and 13.03 is: 19.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    15.45 : 23.12 = 13.03 : x
  2. Step 2: Convert to fraction form
    15.45/23.12 = 13.03/x
  3. Step 3: Cross multiply
    15.45x = 23.12 × 13.03
  4. Step 4: Simplify right side
    15.45x = 301.25
  5. Step 5: Solve for x
    x = 301.25/15.45
  6. Step 6: Final answer
    x = 19.50

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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.