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Finding the Fourth Proportional to 115.59, 172.92 and 97.13

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Solution

The fourth proportional to 115.59, 172.92 and 97.13 is: 145.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.59 : 172.92 = 97.13 : x
  2. Step 2: Convert to fraction form
    115.59/172.92 = 97.13/x
  3. Step 3: Cross multiply
    115.59x = 172.92 × 97.13
  4. Step 4: Simplify right side
    115.59x = 16,795.97
  5. Step 5: Solve for x
    x = 16,795.97/115.59
  6. Step 6: Final answer
    x = 145.31

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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.