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Finding the Fourth Proportional to 74.75, 103.23 and 71.10

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Solution

The fourth proportional to 74.75, 103.23 and 71.10 is: 98.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.75 : 103.23 = 71.10 : x
  2. Step 2: Convert to fraction form
    74.75/103.23 = 71.10/x
  3. Step 3: Cross multiply
    74.75x = 103.23 × 71.10
  4. Step 4: Simplify right side
    74.75x = 7,339.65
  5. Step 5: Solve for x
    x = 7,339.65/74.75
  6. Step 6: Final answer
    x = 98.20

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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.