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Finding the Fourth Proportional to 40.23, 55.44 and 31.02

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Solution

The fourth proportional to 40.23, 55.44 and 31.02 is: 42.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.23 : 55.44 = 31.02 : x
  2. Step 2: Convert to fraction form
    40.23/55.44 = 31.02/x
  3. Step 3: Cross multiply
    40.23x = 55.44 × 31.02
  4. Step 4: Simplify right side
    40.23x = 1,719.75
  5. Step 5: Solve for x
    x = 1,719.75/40.23
  6. Step 6: Final answer
    x = 42.75

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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.