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Finding the Fourth Proportional to 74.94, 112.42 and 20.10

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Solution

The fourth proportional to 74.94, 112.42 and 20.10 is: 30.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.94 : 112.42 = 20.10 : x
  2. Step 2: Convert to fraction form
    74.94/112.42 = 20.10/x
  3. Step 3: Cross multiply
    74.94x = 112.42 × 20.10
  4. Step 4: Simplify right side
    74.94x = 2,259.64
  5. Step 5: Solve for x
    x = 2,259.64/74.94
  6. Step 6: Final answer
    x = 30.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.