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Finding the Fourth Proportional to 25.56, 35.26 and 14.64

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Solution

The fourth proportional to 25.56, 35.26 and 14.64 is: 20.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.56 : 35.26 = 14.64 : x
  2. Step 2: Convert to fraction form
    25.56/35.26 = 14.64/x
  3. Step 3: Cross multiply
    25.56x = 35.26 × 14.64
  4. Step 4: Simplify right side
    25.56x = 516.22
  5. Step 5: Solve for x
    x = 516.22/25.56
  6. Step 6: Final answer
    x = 20.20

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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.