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Finding the Fourth Proportional to 40.76, 56.26 and 26.20

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Solution

The fourth proportional to 40.76, 56.26 and 26.20 is: 36.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.76 : 56.26 = 26.20 : x
  2. Step 2: Convert to fraction form
    40.76/56.26 = 26.20/x
  3. Step 3: Cross multiply
    40.76x = 56.26 × 26.20
  4. Step 4: Simplify right side
    40.76x = 1,474.01
  5. Step 5: Solve for x
    x = 1,474.01/40.76
  6. Step 6: Final answer
    x = 36.16

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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.