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Finding the Fourth Proportional to 25, 34.42 and 22.96

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Solution

The fourth proportional to 25, 34.42 and 22.96 is: 31.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25 : 34.42 = 22.96 : x
  2. Step 2: Convert to fraction form
    25/34.42 = 22.96/x
  3. Step 3: Cross multiply
    25x = 34.42 × 22.96
  4. Step 4: Simplify right side
    25x = 790.28
  5. Step 5: Solve for x
    x = 790.28/25
  6. Step 6: Final answer
    x = 31.61

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1.5x scale

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.