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Finding the Fourth Proportional to 13.02, 19.43 and 10.77

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Solution

The fourth proportional to 13.02, 19.43 and 10.77 is: 16.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.02 : 19.43 = 10.77 : x
  2. Step 2: Convert to fraction form
    13.02/19.43 = 10.77/x
  3. Step 3: Cross multiply
    13.02x = 19.43 × 10.77
  4. Step 4: Simplify right side
    13.02x = 209.26
  5. Step 5: Solve for x
    x = 209.26/13.02
  6. Step 6: Final answer
    x = 16.07

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.