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Finding the Fourth Proportional to 97.80, 135.01 and 74.49

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Solution

The fourth proportional to 97.80, 135.01 and 74.49 is: 102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    97.80 : 135.01 = 74.49 : x
  2. Step 2: Convert to fraction form
    97.80/135.01 = 74.49/x
  3. Step 3: Cross multiply
    97.80x = 135.01 × 74.49
  4. Step 4: Simplify right side
    97.80x = 10,056.99
  5. Step 5: Solve for x
    x = 10,056.99/97.80
  6. Step 6: Final answer
    x = 102.83

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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.