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Finding the Fourth Proportional to 25.95, 35.76 and 22.65

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Solution

The fourth proportional to 25.95, 35.76 and 22.65 is: 31.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.95 : 35.76 = 22.65 : x
  2. Step 2: Convert to fraction form
    25.95/35.76 = 22.65/x
  3. Step 3: Cross multiply
    25.95x = 35.76 × 22.65
  4. Step 4: Simplify right side
    25.95x = 809.96
  5. Step 5: Solve for x
    x = 809.96/25.95
  6. Step 6: Final answer
    x = 31.21

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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.