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Finding the Fourth Proportional to 26.30, 36.30 and 25.46

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Solution

The fourth proportional to 26.30, 36.30 and 25.46 is: 35.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.30 : 36.30 = 25.46 : x
  2. Step 2: Convert to fraction form
    26.30/36.30 = 25.46/x
  3. Step 3: Cross multiply
    26.30x = 36.30 × 25.46
  4. Step 4: Simplify right side
    26.30x = 924.31
  5. Step 5: Solve for x
    x = 924.31/26.30
  6. Step 6: Final answer
    x = 35.15

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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.