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Finding the Fourth Proportional to 112.41, 154.80 and 105.46

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Solution

The fourth proportional to 112.41, 154.80 and 105.46 is: 145.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.41 : 154.80 = 105.46 : x
  2. Step 2: Convert to fraction form
    112.41/154.80 = 105.46/x
  3. Step 3: Cross multiply
    112.41x = 154.80 × 105.46
  4. Step 4: Simplify right side
    112.41x = 16,325.21
  5. Step 5: Solve for x
    x = 16,325.21/112.41
  6. Step 6: Final answer
    x = 145.23

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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.