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Finding the Fourth Proportional to 25.76, 35.54 and 16.06

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Solution

The fourth proportional to 25.76, 35.54 and 16.06 is: 22.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.76 : 35.54 = 16.06 : x
  2. Step 2: Convert to fraction form
    25.76/35.54 = 16.06/x
  3. Step 3: Cross multiply
    25.76x = 35.54 × 16.06
  4. Step 4: Simplify right side
    25.76x = 570.72
  5. Step 5: Solve for x
    x = 570.72/25.76
  6. Step 6: Final answer
    x = 22.15

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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.