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Finding the Fourth Proportional to 172.94, 259.32 and 76.76

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Solution

The fourth proportional to 172.94, 259.32 and 76.76 is: 115.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.94 : 259.32 = 76.76 : x
  2. Step 2: Convert to fraction form
    172.94/259.32 = 76.76/x
  3. Step 3: Cross multiply
    172.94x = 259.32 × 76.76
  4. Step 4: Simplify right side
    172.94x = 19,905.40
  5. Step 5: Solve for x
    x = 19,905.40/172.94
  6. Step 6: Final answer
    x = 115.10

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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.