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Finding the Fourth Proportional to 25.64, 35.31 and 21.29

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Solution

The fourth proportional to 25.64, 35.31 and 21.29 is: 29.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    25.64 : 35.31 = 21.29 : x
  2. Step 2: Convert to fraction form
    25.64/35.31 = 21.29/x
  3. Step 3: Cross multiply
    25.64x = 35.31 × 21.29
  4. Step 4: Simplify right side
    25.64x = 751.57
  5. Step 5: Solve for x
    x = 751.57/25.64
  6. Step 6: Final answer
    x = 29.32

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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.