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Finding the Fourth Proportional to 98.56, 147.75 and 71.44

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Solution

The fourth proportional to 98.56, 147.75 and 71.44 is: 107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.56 : 147.75 = 71.44 : x
  2. Step 2: Convert to fraction form
    98.56/147.75 = 71.44/x
  3. Step 3: Cross multiply
    98.56x = 147.75 × 71.44
  4. Step 4: Simplify right side
    98.56x = 10,555.26
  5. Step 5: Solve for x
    x = 10,555.26/98.56
  6. Step 6: Final answer
    x = 107.09

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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.