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Finding the Fourth Proportional to 25.91, 35.75 and 14.25

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Solution

The fourth proportional to 25.91, 35.75 and 14.25 is: 19.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.91 : 35.75 = 14.25 : x
  2. Step 2: Convert to fraction form
    25.91/35.75 = 14.25/x
  3. Step 3: Cross multiply
    25.91x = 35.75 × 14.25
  4. Step 4: Simplify right side
    25.91x = 509.40
  5. Step 5: Solve for x
    x = 509.40/25.91
  6. Step 6: Final answer
    x = 19.66

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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.