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Finding the Fourth Proportional to 115.19, 172.76 and 96.05

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Solution

The fourth proportional to 115.19, 172.76 and 96.05 is: 144.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.19 : 172.76 = 96.05 : x
  2. Step 2: Convert to fraction form
    115.19/172.76 = 96.05/x
  3. Step 3: Cross multiply
    115.19x = 172.76 × 96.05
  4. Step 4: Simplify right side
    115.19x = 16,592.25
  5. Step 5: Solve for x
    x = 16,592.25/115.19
  6. Step 6: Final answer
    x = 144.05

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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.