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Finding the Fourth Proportional to 17.70, 26.58 and 17.06

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Solution

The fourth proportional to 17.70, 26.58 and 17.06 is: 25.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.70 : 26.58 = 17.06 : x
  2. Step 2: Convert to fraction form
    17.70/26.58 = 17.06/x
  3. Step 3: Cross multiply
    17.70x = 26.58 × 17.06
  4. Step 4: Simplify right side
    17.70x = 453.32
  5. Step 5: Solve for x
    x = 453.32/17.70
  6. Step 6: Final answer
    x = 25.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.