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Finding the Fourth Proportional to 13.10, 17.93 and 13.05

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Solution

The fourth proportional to 13.10, 17.93 and 13.05 is: 17.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.10 : 17.93 = 13.05 : x
  2. Step 2: Convert to fraction form
    13.10/17.93 = 13.05/x
  3. Step 3: Cross multiply
    13.10x = 17.93 × 13.05
  4. Step 4: Simplify right side
    13.10x = 234.02
  5. Step 5: Solve for x
    x = 234.02/13.10
  6. Step 6: Final answer
    x = 17.87

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.