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Finding the Fourth Proportional to 173.90, 260.85 and 102.21

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Solution

The fourth proportional to 173.90, 260.85 and 102.21 is: 153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.90 : 260.85 = 102.21 : x
  2. Step 2: Convert to fraction form
    173.90/260.85 = 102.21/x
  3. Step 3: Cross multiply
    173.90x = 260.85 × 102.21
  4. Step 4: Simplify right side
    173.90x = 26,661.48
  5. Step 5: Solve for x
    x = 26,661.48/173.90
  6. Step 6: Final answer
    x = 153.32

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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.