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Finding the Fourth Proportional to 25.50, 35.12 and 22.58

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Solution

The fourth proportional to 25.50, 35.12 and 22.58 is: 31.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.50 : 35.12 = 22.58 : x
  2. Step 2: Convert to fraction form
    25.50/35.12 = 22.58/x
  3. Step 3: Cross multiply
    25.50x = 35.12 × 22.58
  4. Step 4: Simplify right side
    25.50x = 792.89
  5. Step 5: Solve for x
    x = 792.89/25.50
  6. Step 6: Final answer
    x = 31.09

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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.