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Finding the Fourth Proportional to 97.54, 134.53 and 75.74

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Solution

The fourth proportional to 97.54, 134.53 and 75.74 is: 104.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.54 : 134.53 = 75.74 : x
  2. Step 2: Convert to fraction form
    97.54/134.53 = 75.74/x
  3. Step 3: Cross multiply
    97.54x = 134.53 × 75.74
  4. Step 4: Simplify right side
    97.54x = 10,188.44
  5. Step 5: Solve for x
    x = 10,188.44/97.54
  6. Step 6: Final answer
    x = 104.46

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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.