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Finding the Fourth Proportional to 13.77, 19.00 and 10.13

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Solution

The fourth proportional to 13.77, 19.00 and 10.13 is: 13.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.77 : 19.00 = 10.13 : x
  2. Step 2: Convert to fraction form
    13.77/19.00 = 10.13/x
  3. Step 3: Cross multiply
    13.77x = 19.00 × 10.13
  4. Step 4: Simplify right side
    13.77x = 192.34
  5. Step 5: Solve for x
    x = 192.34/13.77
  6. Step 6: Final answer
    x = 13.97

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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.