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Finding the Fourth Proportional to 13.07, 18.02 and 11.70

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Solution

The fourth proportional to 13.07, 18.02 and 11.70 is: 16.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.07 : 18.02 = 11.70 : x
  2. Step 2: Convert to fraction form
    13.07/18.02 = 11.70/x
  3. Step 3: Cross multiply
    13.07x = 18.02 × 11.70
  4. Step 4: Simplify right side
    13.07x = 210.83
  5. Step 5: Solve for x
    x = 210.83/13.07
  6. Step 6: Final answer
    x = 16.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.