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Finding the Fourth Proportional to 25.36, 35.00 and 13.86

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Solution

The fourth proportional to 25.36, 35.00 and 13.86 is: 19.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.36 : 35.00 = 13.86 : x
  2. Step 2: Convert to fraction form
    25.36/35.00 = 13.86/x
  3. Step 3: Cross multiply
    25.36x = 35.00 × 13.86
  4. Step 4: Simplify right side
    25.36x = 485.07
  5. Step 5: Solve for x
    x = 485.07/25.36
  6. Step 6: Final answer
    x = 19.13

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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.