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Finding the Fourth Proportional to 98.39, 135.44 and 85.45

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Solution

The fourth proportional to 98.39, 135.44 and 85.45 is: 117.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.39 : 135.44 = 85.45 : x
  2. Step 2: Convert to fraction form
    98.39/135.44 = 85.45/x
  3. Step 3: Cross multiply
    98.39x = 135.44 × 85.45
  4. Step 4: Simplify right side
    98.39x = 11,572.67
  5. Step 5: Solve for x
    x = 11,572.67/98.39
  6. Step 6: Final answer
    x = 117.63

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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.