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Finding the Fourth Proportional to 110.94, 165.62 and 88.09

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Solution

The fourth proportional to 110.94, 165.62 and 88.09 is: 131.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.94 : 165.62 = 88.09 : x
  2. Step 2: Convert to fraction form
    110.94/165.62 = 88.09/x
  3. Step 3: Cross multiply
    110.94x = 165.62 × 88.09
  4. Step 4: Simplify right side
    110.94x = 14,589.02
  5. Step 5: Solve for x
    x = 14,589.02/110.94
  6. Step 6: Final answer
    x = 131.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.