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Finding the Fourth Proportional to 174.65, 241.02 and 97.02

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Solution

The fourth proportional to 174.65, 241.02 and 97.02 is: 133.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.65 : 241.02 = 97.02 : x
  2. Step 2: Convert to fraction form
    174.65/241.02 = 97.02/x
  3. Step 3: Cross multiply
    174.65x = 241.02 × 97.02
  4. Step 4: Simplify right side
    174.65x = 23,383.76
  5. Step 5: Solve for x
    x = 23,383.76/174.65
  6. Step 6: Final answer
    x = 133.89

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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.