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Finding the Fourth Proportional to 97.94, 135.20 and 75.76

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Solution

The fourth proportional to 97.94, 135.20 and 75.76 is: 104.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.94 : 135.20 = 75.76 : x
  2. Step 2: Convert to fraction form
    97.94/135.20 = 75.76/x
  3. Step 3: Cross multiply
    97.94x = 135.20 × 75.76
  4. Step 4: Simplify right side
    97.94x = 10,242.75
  5. Step 5: Solve for x
    x = 10,242.75/97.94
  6. Step 6: Final answer
    x = 104.59

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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.