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Finding the Fourth Proportional to 97.41, 134.42 and 53.75

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Solution

The fourth proportional to 97.41, 134.42 and 53.75 is: 74.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.41 : 134.42 = 53.75 : x
  2. Step 2: Convert to fraction form
    97.41/134.42 = 53.75/x
  3. Step 3: Cross multiply
    97.41x = 134.42 × 53.75
  4. Step 4: Simplify right side
    97.41x = 7,224.54
  5. Step 5: Solve for x
    x = 7,224.54/97.41
  6. Step 6: Final answer
    x = 74.17

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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.