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Finding the Fourth Proportional to 25.64, 35.57 and 25.04

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Solution

The fourth proportional to 25.64, 35.57 and 25.04 is: 34.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.64 : 35.57 = 25.04 : x
  2. Step 2: Convert to fraction form
    25.64/35.57 = 25.04/x
  3. Step 3: Cross multiply
    25.64x = 35.57 × 25.04
  4. Step 4: Simplify right side
    25.64x = 890.67
  5. Step 5: Solve for x
    x = 890.67/25.64
  6. Step 6: Final answer
    x = 34.74

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.