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Finding the Fourth Proportional to 143.10, 214.73 and 56.42

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Solution

The fourth proportional to 143.10, 214.73 and 56.42 is: 84.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.10 : 214.73 = 56.42 : x
  2. Step 2: Convert to fraction form
    143.10/214.73 = 56.42/x
  3. Step 3: Cross multiply
    143.10x = 214.73 × 56.42
  4. Step 4: Simplify right side
    143.10x = 12,114.41
  5. Step 5: Solve for x
    x = 12,114.41/143.10
  6. Step 6: Final answer
    x = 84.66

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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.