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Finding the Fourth Proportional to 110.99, 165.74 and 89.35

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Solution

The fourth proportional to 110.99, 165.74 and 89.35 is: 133.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.99 : 165.74 = 89.35 : x
  2. Step 2: Convert to fraction form
    110.99/165.74 = 89.35/x
  3. Step 3: Cross multiply
    110.99x = 165.74 × 89.35
  4. Step 4: Simplify right side
    110.99x = 14,808.87
  5. Step 5: Solve for x
    x = 14,808.87/110.99
  6. Step 6: Final answer
    x = 133.43

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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.