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Finding the Fourth Proportional to 115.83, 174.41 and 89.01

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Solution

The fourth proportional to 115.83, 174.41 and 89.01 is: 134.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.83 : 174.41 = 89.01 : x
  2. Step 2: Convert to fraction form
    115.83/174.41 = 89.01/x
  3. Step 3: Cross multiply
    115.83x = 174.41 × 89.01
  4. Step 4: Simplify right side
    115.83x = 15,523.79
  5. Step 5: Solve for x
    x = 15,523.79/115.83
  6. Step 6: Final answer
    x = 134.02

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.