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Finding the Fourth Proportional to 74.48, 110.44 and 73.12

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Solution

The fourth proportional to 74.48, 110.44 and 73.12 is: 108.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.48 : 110.44 = 73.12 : x
  2. Step 2: Convert to fraction form
    74.48/110.44 = 73.12/x
  3. Step 3: Cross multiply
    74.48x = 110.44 × 73.12
  4. Step 4: Simplify right side
    74.48x = 8,075.37
  5. Step 5: Solve for x
    x = 8,075.37/74.48
  6. Step 6: Final answer
    x = 108.42

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.