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Finding the Fourth Proportional to 98.05, 135.27 and 64.82

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Solution

The fourth proportional to 98.05, 135.27 and 64.82 is: 89.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.05 : 135.27 = 64.82 : x
  2. Step 2: Convert to fraction form
    98.05/135.27 = 64.82/x
  3. Step 3: Cross multiply
    98.05x = 135.27 × 64.82
  4. Step 4: Simplify right side
    98.05x = 8,767.53
  5. Step 5: Solve for x
    x = 8,767.53/98.05
  6. Step 6: Final answer
    x = 89.42

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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.