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Finding the Fourth Proportional to 116.03, 172.88 and 110.16

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Solution

The fourth proportional to 116.03, 172.88 and 110.16 is: 164.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.03 : 172.88 = 110.16 : x
  2. Step 2: Convert to fraction form
    116.03/172.88 = 110.16/x
  3. Step 3: Cross multiply
    116.03x = 172.88 × 110.16
  4. Step 4: Simplify right side
    116.03x = 19,044.94
  5. Step 5: Solve for x
    x = 19,044.94/116.03
  6. Step 6: Final answer
    x = 164.13

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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.