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Finding the Fourth Proportional to 115.24, 172.72 and 97.24

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Solution

The fourth proportional to 115.24, 172.72 and 97.24 is: 145.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.24 : 172.72 = 97.24 : x
  2. Step 2: Convert to fraction form
    115.24/172.72 = 97.24/x
  3. Step 3: Cross multiply
    115.24x = 172.72 × 97.24
  4. Step 4: Simplify right side
    115.24x = 16,795.29
  5. Step 5: Solve for x
    x = 16,795.29/115.24
  6. Step 6: Final answer
    x = 145.74

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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.