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Finding the Fourth Proportional to 25.88, 35.72 and 16.16

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Solution

The fourth proportional to 25.88, 35.72 and 16.16 is: 22.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.88 : 35.72 = 16.16 : x
  2. Step 2: Convert to fraction form
    25.88/35.72 = 16.16/x
  3. Step 3: Cross multiply
    25.88x = 35.72 × 16.16
  4. Step 4: Simplify right side
    25.88x = 577.24
  5. Step 5: Solve for x
    x = 577.24/25.88
  6. Step 6: Final answer
    x = 22.30

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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.