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Finding the Fourth Proportional to 25.95, 35.78 and 17.77

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Solution

The fourth proportional to 25.95, 35.78 and 17.77 is: 24.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.95 : 35.78 = 17.77 : x
  2. Step 2: Convert to fraction form
    25.95/35.78 = 17.77/x
  3. Step 3: Cross multiply
    25.95x = 35.78 × 17.77
  4. Step 4: Simplify right side
    25.95x = 635.77
  5. Step 5: Solve for x
    x = 635.77/25.95
  6. Step 6: Final answer
    x = 24.50

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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.