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Finding the Fourth Proportional to 40.55, 55.96 and 23.07

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Solution

The fourth proportional to 40.55, 55.96 and 23.07 is: 31.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.55 : 55.96 = 23.07 : x
  2. Step 2: Convert to fraction form
    40.55/55.96 = 23.07/x
  3. Step 3: Cross multiply
    40.55x = 55.96 × 23.07
  4. Step 4: Simplify right side
    40.55x = 1,290.93
  5. Step 5: Solve for x
    x = 1,290.93/40.55
  6. Step 6: Final answer
    x = 31.83

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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.