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Finding the Fourth Proportional to 26.70, 41.10 and 26.70

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Solution

The fourth proportional to 26.70, 41.10 and 26.70 is: 41.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.70 : 41.10 = 26.70 : x
  2. Step 2: Convert to fraction form
    26.70/41.10 = 26.70/x
  3. Step 3: Cross multiply
    26.70x = 41.10 × 26.70
  4. Step 4: Simplify right side
    26.70x = 1,097.37
  5. Step 5: Solve for x
    x = 1,097.37/26.70
  6. Step 6: Final answer
    x = 41.10

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.