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Finding the Fourth Proportional to 36.15, 49.78 and 31.23

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Solution

The fourth proportional to 36.15, 49.78 and 31.23 is: 43.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.15 : 49.78 = 31.23 : x
  2. Step 2: Convert to fraction form
    36.15/49.78 = 31.23/x
  3. Step 3: Cross multiply
    36.15x = 49.78 × 31.23
  4. Step 4: Simplify right side
    36.15x = 1,554.53
  5. Step 5: Solve for x
    x = 1,554.53/36.15
  6. Step 6: Final answer
    x = 43.00

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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.