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Finding the Fourth Proportional to 103.97, 156.01 and 35.51

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Solution

The fourth proportional to 103.97, 156.01 and 35.51 is: 53.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103.97 : 156.01 = 35.51 : x
  2. Step 2: Convert to fraction form
    103.97/156.01 = 35.51/x
  3. Step 3: Cross multiply
    103.97x = 156.01 × 35.51
  4. Step 4: Simplify right side
    103.97x = 5,539.11
  5. Step 5: Solve for x
    x = 5,539.11/103.97
  6. Step 6: Final answer
    x = 53.28

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.