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Finding the Fourth Proportional to 98.76, 135.99 and 78.03

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Solution

The fourth proportional to 98.76, 135.99 and 78.03 is: 107.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.76 : 135.99 = 78.03 : x
  2. Step 2: Convert to fraction form
    98.76/135.99 = 78.03/x
  3. Step 3: Cross multiply
    98.76x = 135.99 × 78.03
  4. Step 4: Simplify right side
    98.76x = 10,610.34
  5. Step 5: Solve for x
    x = 10,610.34/98.76
  6. Step 6: Final answer
    x = 107.44

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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.