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Finding the Fourth Proportional to 26.61, 40 and 22.06

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Solution

The fourth proportional to 26.61, 40 and 22.06 is: 33.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.61 : 40 = 22.06 : x
  2. Step 2: Convert to fraction form
    26.61/40 = 22.06/x
  3. Step 3: Cross multiply
    26.61x = 40 × 22.06
  4. Step 4: Simplify right side
    26.61x = 882.40
  5. Step 5: Solve for x
    x = 882.40/26.61
  6. Step 6: Final answer
    x = 33.16

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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.