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Finding the Fourth Proportional to 13.07, 19.59 and 7.36

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Solution

The fourth proportional to 13.07, 19.59 and 7.36 is: 11.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.07 : 19.59 = 7.36 : x
  2. Step 2: Convert to fraction form
    13.07/19.59 = 7.36/x
  3. Step 3: Cross multiply
    13.07x = 19.59 × 7.36
  4. Step 4: Simplify right side
    13.07x = 144.18
  5. Step 5: Solve for x
    x = 144.18/13.07
  6. Step 6: Final answer
    x = 11.03

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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.