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Finding the Fourth Proportional to 143.30, 214.97 and 52.05

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Solution

The fourth proportional to 143.30, 214.97 and 52.05 is: 78.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.30 : 214.97 = 52.05 : x
  2. Step 2: Convert to fraction form
    143.30/214.97 = 52.05/x
  3. Step 3: Cross multiply
    143.30x = 214.97 × 52.05
  4. Step 4: Simplify right side
    143.30x = 11,188.93
  5. Step 5: Solve for x
    x = 11,188.93/143.30
  6. Step 6: Final answer
    x = 78.08

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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.