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Finding the Fourth Proportional to 13.80, 19.03 and 10.51

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Solution

The fourth proportional to 13.80, 19.03 and 10.51 is: 14.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.80 : 19.03 = 10.51 : x
  2. Step 2: Convert to fraction form
    13.80/19.03 = 10.51/x
  3. Step 3: Cross multiply
    13.80x = 19.03 × 10.51
  4. Step 4: Simplify right side
    13.80x = 200.01
  5. Step 5: Solve for x
    x = 200.01/13.80
  6. Step 6: Final answer
    x = 14.49

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