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Finding the Fourth Proportional to 115.07, 172.20 and 107.58

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Solution

The fourth proportional to 115.07, 172.20 and 107.58 is: 160.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.07 : 172.20 = 107.58 : x
  2. Step 2: Convert to fraction form
    115.07/172.20 = 107.58/x
  3. Step 3: Cross multiply
    115.07x = 172.20 × 107.58
  4. Step 4: Simplify right side
    115.07x = 18,525.05
  5. Step 5: Solve for x
    x = 18,525.05/115.07
  6. Step 6: Final answer
    x = 160.99

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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.