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Finding the Fourth Proportional to 25.85, 35.64 and 19.37

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Solution

The fourth proportional to 25.85, 35.64 and 19.37 is: 26.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.85 : 35.64 = 19.37 : x
  2. Step 2: Convert to fraction form
    25.85/35.64 = 19.37/x
  3. Step 3: Cross multiply
    25.85x = 35.64 × 19.37
  4. Step 4: Simplify right side
    25.85x = 690.17
  5. Step 5: Solve for x
    x = 690.17/25.85
  6. Step 6: Final answer
    x = 26.70

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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.