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Finding the Fourth Proportional to 143.48, 215.06 and 52.07

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Solution

The fourth proportional to 143.48, 215.06 and 52.07 is: 78.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.48 : 215.06 = 52.07 : x
  2. Step 2: Convert to fraction form
    143.48/215.06 = 52.07/x
  3. Step 3: Cross multiply
    143.48x = 215.06 × 52.07
  4. Step 4: Simplify right side
    143.48x = 11,198.80
  5. Step 5: Solve for x
    x = 11,198.80/143.48
  6. Step 6: Final answer
    x = 78.05

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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.