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Finding the Fourth Proportional to 105.74, 145.85 and 74.18

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Solution

The fourth proportional to 105.74, 145.85 and 74.18 is: 102.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.74 : 145.85 = 74.18 : x
  2. Step 2: Convert to fraction form
    105.74/145.85 = 74.18/x
  3. Step 3: Cross multiply
    105.74x = 145.85 × 74.18
  4. Step 4: Simplify right side
    105.74x = 10,818.05
  5. Step 5: Solve for x
    x = 10,818.05/105.74
  6. Step 6: Final answer
    x = 102.31

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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.