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Finding the Fourth Proportional to 73.42, 101.31 and 54.83

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Solution

The fourth proportional to 73.42, 101.31 and 54.83 is: 75.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.42 : 101.31 = 54.83 : x
  2. Step 2: Convert to fraction form
    73.42/101.31 = 54.83/x
  3. Step 3: Cross multiply
    73.42x = 101.31 × 54.83
  4. Step 4: Simplify right side
    73.42x = 5,554.05
  5. Step 5: Solve for x
    x = 5,554.05/73.42
  6. Step 6: Final answer
    x = 75.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.