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Finding the Fourth Proportional to 173.06, 259.59 and 100.04

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Solution

The fourth proportional to 173.06, 259.59 and 100.04 is: 150.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.06 : 259.59 = 100.04 : x
  2. Step 2: Convert to fraction form
    173.06/259.59 = 100.04/x
  3. Step 3: Cross multiply
    173.06x = 259.59 × 100.04
  4. Step 4: Simplify right side
    173.06x = 25,969.98
  5. Step 5: Solve for x
    x = 25,969.98/173.06
  6. Step 6: Final answer
    x = 150.06

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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.