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Finding the Fourth Proportional to 110.53, 165.70 and 76.19

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Solution

The fourth proportional to 110.53, 165.70 and 76.19 is: 114.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    110.53 : 165.70 = 76.19 : x
  2. Step 2: Convert to fraction form
    110.53/165.70 = 76.19/x
  3. Step 3: Cross multiply
    110.53x = 165.70 × 76.19
  4. Step 4: Simplify right side
    110.53x = 12,623.47
  5. Step 5: Solve for x
    x = 12,623.47/110.53
  6. Step 6: Final answer
    x = 114.21

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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.