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Finding the Fourth Proportional to 105.46, 145.47 and 66.67

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Solution

The fourth proportional to 105.46, 145.47 and 66.67 is: 91.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.46 : 145.47 = 66.67 : x
  2. Step 2: Convert to fraction form
    105.46/145.47 = 66.67/x
  3. Step 3: Cross multiply
    105.46x = 145.47 × 66.67
  4. Step 4: Simplify right side
    105.46x = 9,698.48
  5. Step 5: Solve for x
    x = 9,698.48/105.46
  6. Step 6: Final answer
    x = 91.96

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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.