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Finding the Fourth Proportional to 40.19, 55.48 and 26.39

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Solution

The fourth proportional to 40.19, 55.48 and 26.39 is: 36.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.19 : 55.48 = 26.39 : x
  2. Step 2: Convert to fraction form
    40.19/55.48 = 26.39/x
  3. Step 3: Cross multiply
    40.19x = 55.48 × 26.39
  4. Step 4: Simplify right side
    40.19x = 1,463.77
  5. Step 5: Solve for x
    x = 1,463.77/40.19
  6. Step 6: Final answer
    x = 36.43

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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.