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Finding the Fourth Proportional to 111.07, 166.33 and 101.82

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Solution

The fourth proportional to 111.07, 166.33 and 101.82 is: 152.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.07 : 166.33 = 101.82 : x
  2. Step 2: Convert to fraction form
    111.07/166.33 = 101.82/x
  3. Step 3: Cross multiply
    111.07x = 166.33 × 101.82
  4. Step 4: Simplify right side
    111.07x = 16,935.72
  5. Step 5: Solve for x
    x = 16,935.72/111.07
  6. Step 6: Final answer
    x = 152.48

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