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Finding the Fourth Proportional to 143.83, 215.75 and 52.51

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Solution

The fourth proportional to 143.83, 215.75 and 52.51 is: 78.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.83 : 215.75 = 52.51 : x
  2. Step 2: Convert to fraction form
    143.83/215.75 = 52.51/x
  3. Step 3: Cross multiply
    143.83x = 215.75 × 52.51
  4. Step 4: Simplify right side
    143.83x = 11,329.03
  5. Step 5: Solve for x
    x = 11,329.03/143.83
  6. Step 6: Final answer
    x = 78.77

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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.