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Finding the Fourth Proportional to 143.98, 215.51 and 102.67

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Solution

The fourth proportional to 143.98, 215.51 and 102.67 is: 153.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.98 : 215.51 = 102.67 : x
  2. Step 2: Convert to fraction form
    143.98/215.51 = 102.67/x
  3. Step 3: Cross multiply
    143.98x = 215.51 × 102.67
  4. Step 4: Simplify right side
    143.98x = 22,125.94
  5. Step 5: Solve for x
    x = 22,125.94/143.98
  6. Step 6: Final answer
    x = 153.68

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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.