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Finding the Fourth Proportional to 110.63, 166.56 and 91.67

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Solution

The fourth proportional to 110.63, 166.56 and 91.67 is: 138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.63 : 166.56 = 91.67 : x
  2. Step 2: Convert to fraction form
    110.63/166.56 = 91.67/x
  3. Step 3: Cross multiply
    110.63x = 166.56 × 91.67
  4. Step 4: Simplify right side
    110.63x = 15,267.55
  5. Step 5: Solve for x
    x = 15,267.55/110.63
  6. Step 6: Final answer
    x = 138.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.