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Finding the Fourth Proportional to 115.13, 172.94 and 98.12

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Solution

The fourth proportional to 115.13, 172.94 and 98.12 is: 147.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.13 : 172.94 = 98.12 : x
  2. Step 2: Convert to fraction form
    115.13/172.94 = 98.12/x
  3. Step 3: Cross multiply
    115.13x = 172.94 × 98.12
  4. Step 4: Simplify right side
    115.13x = 16,968.81
  5. Step 5: Solve for x
    x = 16,968.81/115.13
  6. Step 6: Final answer
    x = 147.39

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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.