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Finding the Fourth Proportional to 97.61, 134.65 and 74.30

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Solution

The fourth proportional to 97.61, 134.65 and 74.30 is: 102.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.61 : 134.65 = 74.30 : x
  2. Step 2: Convert to fraction form
    97.61/134.65 = 74.30/x
  3. Step 3: Cross multiply
    97.61x = 134.65 × 74.30
  4. Step 4: Simplify right side
    97.61x = 10,004.65
  5. Step 5: Solve for x
    x = 10,004.65/97.61
  6. Step 6: Final answer
    x = 102.49

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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.