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Finding the Fourth Proportional to 98.15, 135.34 and 73.54

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Solution

The fourth proportional to 98.15, 135.34 and 73.54 is: 101.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.15 : 135.34 = 73.54 : x
  2. Step 2: Convert to fraction form
    98.15/135.34 = 73.54/x
  3. Step 3: Cross multiply
    98.15x = 135.34 × 73.54
  4. Step 4: Simplify right side
    98.15x = 9,952.89
  5. Step 5: Solve for x
    x = 9,952.89/98.15
  6. Step 6: Final answer
    x = 101.41

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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.