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Finding the Fourth Proportional to 175.21, 241.78 and 97.59

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Solution

The fourth proportional to 175.21, 241.78 and 97.59 is: 134.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.21 : 241.78 = 97.59 : x
  2. Step 2: Convert to fraction form
    175.21/241.78 = 97.59/x
  3. Step 3: Cross multiply
    175.21x = 241.78 × 97.59
  4. Step 4: Simplify right side
    175.21x = 23,595.31
  5. Step 5: Solve for x
    x = 23,595.31/175.21
  6. Step 6: Final answer
    x = 134.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.