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Finding the Fourth Proportional to 26.60, 40.10 and 26.55

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Solution

The fourth proportional to 26.60, 40.10 and 26.55 is: 40.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    26.60 : 40.10 = 26.55 : x
  2. Step 2: Convert to fraction form
    26.60/40.10 = 26.55/x
  3. Step 3: Cross multiply
    26.60x = 40.10 × 26.55
  4. Step 4: Simplify right side
    26.60x = 1,064.52
  5. Step 5: Solve for x
    x = 1,064.52/26.60
  6. Step 6: Final answer
    x = 40.03

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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.