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Finding the Fourth Proportional to 98.33, 135.80 and 74.76

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Solution

The fourth proportional to 98.33, 135.80 and 74.76 is: 103.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.33 : 135.80 = 74.76 : x
  2. Step 2: Convert to fraction form
    98.33/135.80 = 74.76/x
  3. Step 3: Cross multiply
    98.33x = 135.80 × 74.76
  4. Step 4: Simplify right side
    98.33x = 10,152.03
  5. Step 5: Solve for x
    x = 10,152.03/98.33
  6. Step 6: Final answer
    x = 103.25

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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.