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Finding the Fourth Proportional to 103.54, 156.07 and 97.18

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Solution

The fourth proportional to 103.54, 156.07 and 97.18 is: 146.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.54 : 156.07 = 97.18 : x
  2. Step 2: Convert to fraction form
    103.54/156.07 = 97.18/x
  3. Step 3: Cross multiply
    103.54x = 156.07 × 97.18
  4. Step 4: Simplify right side
    103.54x = 15,166.88
  5. Step 5: Solve for x
    x = 15,166.88/103.54
  6. Step 6: Final answer
    x = 146.48

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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.