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Finding the Fourth Proportional to 115.32, 172.25 and 97.10

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Solution

The fourth proportional to 115.32, 172.25 and 97.10 is: 145.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.32 : 172.25 = 97.10 : x
  2. Step 2: Convert to fraction form
    115.32/172.25 = 97.10/x
  3. Step 3: Cross multiply
    115.32x = 172.25 × 97.10
  4. Step 4: Simplify right side
    115.32x = 16,724.86
  5. Step 5: Solve for x
    x = 16,724.86/115.32
  6. Step 6: Final answer
    x = 145.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.