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Finding the Fourth Proportional to 25.93, 35.78 and 19.45

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Solution

The fourth proportional to 25.93, 35.78 and 19.45 is: 26.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.93 : 35.78 = 19.45 : x
  2. Step 2: Convert to fraction form
    25.93/35.78 = 19.45/x
  3. Step 3: Cross multiply
    25.93x = 35.78 × 19.45
  4. Step 4: Simplify right side
    25.93x = 695.64
  5. Step 5: Solve for x
    x = 695.64/25.93
  6. Step 6: Final answer
    x = 26.83

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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.