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Finding the Fourth Proportional to 115.41, 172.29 and 101.73

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Solution

The fourth proportional to 115.41, 172.29 and 101.73 is: 151.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.41 : 172.29 = 101.73 : x
  2. Step 2: Convert to fraction form
    115.41/172.29 = 101.73/x
  3. Step 3: Cross multiply
    115.41x = 172.29 × 101.73
  4. Step 4: Simplify right side
    115.41x = 17,527.06
  5. Step 5: Solve for x
    x = 17,527.06/115.41
  6. Step 6: Final answer
    x = 151.87

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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.