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Finding the Fourth Proportional to 116.93, 174.53 and 103.26

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Solution

The fourth proportional to 116.93, 174.53 and 103.26 is: 154.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.93 : 174.53 = 103.26 : x
  2. Step 2: Convert to fraction form
    116.93/174.53 = 103.26/x
  3. Step 3: Cross multiply
    116.93x = 174.53 × 103.26
  4. Step 4: Simplify right side
    116.93x = 18,021.97
  5. Step 5: Solve for x
    x = 18,021.97/116.93
  6. Step 6: Final answer
    x = 154.13

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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.