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Finding the Fourth Proportional to 110.07, 165.06 and 102.88

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Solution

The fourth proportional to 110.07, 165.06 and 102.88 is: 154.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.07 : 165.06 = 102.88 : x
  2. Step 2: Convert to fraction form
    110.07/165.06 = 102.88/x
  3. Step 3: Cross multiply
    110.07x = 165.06 × 102.88
  4. Step 4: Simplify right side
    110.07x = 16,980.55
  5. Step 5: Solve for x
    x = 16,980.55/110.07
  6. Step 6: Final answer
    x = 154.28

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Why These Related Problems?

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