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Finding the Fourth Proportional to 40.75, 56.18 and 26.17

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Solution

The fourth proportional to 40.75, 56.18 and 26.17 is: 36.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.75 : 56.18 = 26.17 : x
  2. Step 2: Convert to fraction form
    40.75/56.18 = 26.17/x
  3. Step 3: Cross multiply
    40.75x = 56.18 × 26.17
  4. Step 4: Simplify right side
    40.75x = 1,470.16
  5. Step 5: Solve for x
    x = 1,470.16/40.75
  6. Step 6: Final answer
    x = 36.08

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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.