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Finding the Fourth Proportional to 173.54, 260.14 and 82.16

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Solution

The fourth proportional to 173.54, 260.14 and 82.16 is: 123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.54 : 260.14 = 82.16 : x
  2. Step 2: Convert to fraction form
    173.54/260.14 = 82.16/x
  3. Step 3: Cross multiply
    173.54x = 260.14 × 82.16
  4. Step 4: Simplify right side
    173.54x = 21,373.10
  5. Step 5: Solve for x
    x = 21,373.10/173.54
  6. Step 6: Final answer
    x = 123.16

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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.