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Finding the Fourth Proportional to 97.69, 134.81 and 54.02

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Solution

The fourth proportional to 97.69, 134.81 and 54.02 is: 74.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.69 : 134.81 = 54.02 : x
  2. Step 2: Convert to fraction form
    97.69/134.81 = 54.02/x
  3. Step 3: Cross multiply
    97.69x = 134.81 × 54.02
  4. Step 4: Simplify right side
    97.69x = 7,282.91
  5. Step 5: Solve for x
    x = 7,282.91/97.69
  6. Step 6: Final answer
    x = 74.55

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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.