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Finding the Fourth Proportional to 26.81, 40.40 and 26.00

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Solution

The fourth proportional to 26.81, 40.40 and 26.00 is: 39.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.81 : 40.40 = 26.00 : x
  2. Step 2: Convert to fraction form
    26.81/40.40 = 26.00/x
  3. Step 3: Cross multiply
    26.81x = 40.40 × 26.00
  4. Step 4: Simplify right side
    26.81x = 1,050.07
  5. Step 5: Solve for x
    x = 1,050.07/26.81
  6. Step 6: Final answer
    x = 39.17

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.