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Finding the Fourth Proportional to 113.87, 170.75 and 55.98

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Solution

The fourth proportional to 113.87, 170.75 and 55.98 is: 83.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.87 : 170.75 = 55.98 : x
  2. Step 2: Convert to fraction form
    113.87/170.75 = 55.98/x
  3. Step 3: Cross multiply
    113.87x = 170.75 × 55.98
  4. Step 4: Simplify right side
    113.87x = 9,558.72
  5. Step 5: Solve for x
    x = 9,558.72/113.87
  6. Step 6: Final answer
    x = 83.94

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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.