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Finding the Fourth Proportional to 116.10, 172.94 and 110.84

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Solution

The fourth proportional to 116.10, 172.94 and 110.84 is: 165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.10 : 172.94 = 110.84 : x
  2. Step 2: Convert to fraction form
    116.10/172.94 = 110.84/x
  3. Step 3: Cross multiply
    116.10x = 172.94 × 110.84
  4. Step 4: Simplify right side
    116.10x = 19,167.25
  5. Step 5: Solve for x
    x = 19,167.25/116.10
  6. Step 6: Final answer
    x = 165.09

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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.