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Finding the Fourth Proportional to 25.80, 35.62 and 16.59

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Solution

The fourth proportional to 25.80, 35.62 and 16.59 is: 22.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.80 : 35.62 = 16.59 : x
  2. Step 2: Convert to fraction form
    25.80/35.62 = 16.59/x
  3. Step 3: Cross multiply
    25.80x = 35.62 × 16.59
  4. Step 4: Simplify right side
    25.80x = 590.94
  5. Step 5: Solve for x
    x = 590.94/25.80
  6. Step 6: Final answer
    x = 22.90

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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.