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Finding the Fourth Proportional to 40.55, 55.97 and 26.00

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Solution

The fourth proportional to 40.55, 55.97 and 26.00 is: 35.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.55 : 55.97 = 26.00 : x
  2. Step 2: Convert to fraction form
    40.55/55.97 = 26.00/x
  3. Step 3: Cross multiply
    40.55x = 55.97 × 26.00
  4. Step 4: Simplify right side
    40.55x = 1,455.01
  5. Step 5: Solve for x
    x = 1,455.01/40.55
  6. Step 6: Final answer
    x = 35.88

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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.