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Finding the Fourth Proportional to 25.88, 35.70 and 22.64

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Solution

The fourth proportional to 25.88, 35.70 and 22.64 is: 31.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.88 : 35.70 = 22.64 : x
  2. Step 2: Convert to fraction form
    25.88/35.70 = 22.64/x
  3. Step 3: Cross multiply
    25.88x = 35.70 × 22.64
  4. Step 4: Simplify right side
    25.88x = 808.25
  5. Step 5: Solve for x
    x = 808.25/25.88
  6. Step 6: Final answer
    x = 31.23

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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.