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Finding the Fourth Proportional to 40.75, 56.25 and 26.01

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Solution

The fourth proportional to 40.75, 56.25 and 26.01 is: 35.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.75 : 56.25 = 26.01 : x
  2. Step 2: Convert to fraction form
    40.75/56.25 = 26.01/x
  3. Step 3: Cross multiply
    40.75x = 56.25 × 26.01
  4. Step 4: Simplify right side
    40.75x = 1,463.06
  5. Step 5: Solve for x
    x = 1,463.06/40.75
  6. Step 6: Final answer
    x = 35.91

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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.