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Finding the Fourth Proportional to 55.12, 75.73 and 49.37

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Solution

The fourth proportional to 55.12, 75.73 and 49.37 is: 67.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.12 : 75.73 = 49.37 : x
  2. Step 2: Convert to fraction form
    55.12/75.73 = 49.37/x
  3. Step 3: Cross multiply
    55.12x = 75.73 × 49.37
  4. Step 4: Simplify right side
    55.12x = 3,738.16
  5. Step 5: Solve for x
    x = 3,738.16/55.12
  6. Step 6: Final answer
    x = 67.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.