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Finding the Fourth Proportional to 143.98, 215.74 and 89.90

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Solution

The fourth proportional to 143.98, 215.74 and 89.90 is: 134.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.98 : 215.74 = 89.90 : x
  2. Step 2: Convert to fraction form
    143.98/215.74 = 89.90/x
  3. Step 3: Cross multiply
    143.98x = 215.74 × 89.90
  4. Step 4: Simplify right side
    143.98x = 19,395.03
  5. Step 5: Solve for x
    x = 19,395.03/143.98
  6. Step 6: Final answer
    x = 134.71

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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.