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Finding the Fourth Proportional to 103.69, 156.31 and 97.08

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Solution

The fourth proportional to 103.69, 156.31 and 97.08 is: 146.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.69 : 156.31 = 97.08 : x
  2. Step 2: Convert to fraction form
    103.69/156.31 = 97.08/x
  3. Step 3: Cross multiply
    103.69x = 156.31 × 97.08
  4. Step 4: Simplify right side
    103.69x = 15,174.57
  5. Step 5: Solve for x
    x = 15,174.57/103.69
  6. Step 6: Final answer
    x = 146.35

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.