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Finding the Fourth Proportional to 143.66, 215.51 and 57.03

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Solution

The fourth proportional to 143.66, 215.51 and 57.03 is: 85.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.66 : 215.51 = 57.03 : x
  2. Step 2: Convert to fraction form
    143.66/215.51 = 57.03/x
  3. Step 3: Cross multiply
    143.66x = 215.51 × 57.03
  4. Step 4: Simplify right side
    143.66x = 12,290.54
  5. Step 5: Solve for x
    x = 12,290.54/143.66
  6. Step 6: Final answer
    x = 85.55

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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.