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Finding the Fourth Proportional to 110.12, 164.68 and 88.32

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Solution

The fourth proportional to 110.12, 164.68 and 88.32 is: 132.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.12 : 164.68 = 88.32 : x
  2. Step 2: Convert to fraction form
    110.12/164.68 = 88.32/x
  3. Step 3: Cross multiply
    110.12x = 164.68 × 88.32
  4. Step 4: Simplify right side
    110.12x = 14,544.54
  5. Step 5: Solve for x
    x = 14,544.54/110.12
  6. Step 6: Final answer
    x = 132.08

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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.