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Finding the Fourth Proportional to 116.02, 172.91 and 110.94

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Solution

The fourth proportional to 116.02, 172.91 and 110.94 is: 165.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.02 : 172.91 = 110.94 : x
  2. Step 2: Convert to fraction form
    116.02/172.91 = 110.94/x
  3. Step 3: Cross multiply
    116.02x = 172.91 × 110.94
  4. Step 4: Simplify right side
    116.02x = 19,182.26
  5. Step 5: Solve for x
    x = 19,182.26/116.02
  6. Step 6: Final answer
    x = 165.33

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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.