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Finding the Fourth Proportional to 25.64, 35.42 and 25.39

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Solution

The fourth proportional to 25.64, 35.42 and 25.39 is: 35.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.64 : 35.42 = 25.39 : x
  2. Step 2: Convert to fraction form
    25.64/35.42 = 25.39/x
  3. Step 3: Cross multiply
    25.64x = 35.42 × 25.39
  4. Step 4: Simplify right side
    25.64x = 899.31
  5. Step 5: Solve for x
    x = 899.31/25.64
  6. Step 6: Final answer
    x = 35.07

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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.