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Finding the Fourth Proportional to 40.94, 56.47 and 26.39

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Solution

The fourth proportional to 40.94, 56.47 and 26.39 is: 36.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.94 : 56.47 = 26.39 : x
  2. Step 2: Convert to fraction form
    40.94/56.47 = 26.39/x
  3. Step 3: Cross multiply
    40.94x = 56.47 × 26.39
  4. Step 4: Simplify right side
    40.94x = 1,490.11
  5. Step 5: Solve for x
    x = 1,490.11/40.94
  6. Step 6: Final answer
    x = 36.40

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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.