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Finding the Fourth Proportional to 143.13, 214.62 and 56.40

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Solution

The fourth proportional to 143.13, 214.62 and 56.40 is: 84.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.13 : 214.62 = 56.40 : x
  2. Step 2: Convert to fraction form
    143.13/214.62 = 56.40/x
  3. Step 3: Cross multiply
    143.13x = 214.62 × 56.40
  4. Step 4: Simplify right side
    143.13x = 12,103.55
  5. Step 5: Solve for x
    x = 12,103.55/143.13
  6. Step 6: Final answer
    x = 84.56

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Why These Related Problems?

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