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Finding the Fourth Proportional to 172.19, 258.33 and 76.07

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Solution

The fourth proportional to 172.19, 258.33 and 76.07 is: 114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.19 : 258.33 = 76.07 : x
  2. Step 2: Convert to fraction form
    172.19/258.33 = 76.07/x
  3. Step 3: Cross multiply
    172.19x = 258.33 × 76.07
  4. Step 4: Simplify right side
    172.19x = 19,649.87
  5. Step 5: Solve for x
    x = 19,649.87/172.19
  6. Step 6: Final answer
    x = 114.12

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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.