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Finding the Fourth Proportional to 145.56, 217.92 and 96.66

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Solution

The fourth proportional to 145.56, 217.92 and 96.66 is: 144.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.56 : 217.92 = 96.66 : x
  2. Step 2: Convert to fraction form
    145.56/217.92 = 96.66/x
  3. Step 3: Cross multiply
    145.56x = 217.92 × 96.66
  4. Step 4: Simplify right side
    145.56x = 21,064.15
  5. Step 5: Solve for x
    x = 21,064.15/145.56
  6. Step 6: Final answer
    x = 144.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.