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Finding the Fourth Proportional to 115.14, 172.89 and 96.06

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Solution

The fourth proportional to 115.14, 172.89 and 96.06 is: 144.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.14 : 172.89 = 96.06 : x
  2. Step 2: Convert to fraction form
    115.14/172.89 = 96.06/x
  3. Step 3: Cross multiply
    115.14x = 172.89 × 96.06
  4. Step 4: Simplify right side
    115.14x = 16,607.81
  5. Step 5: Solve for x
    x = 16,607.81/115.14
  6. Step 6: Final answer
    x = 144.24

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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.