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Finding the Fourth Proportional to 98.26, 135.49 and 65.45

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Solution

The fourth proportional to 98.26, 135.49 and 65.45 is: 90.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.26 : 135.49 = 65.45 : x
  2. Step 2: Convert to fraction form
    98.26/135.49 = 65.45/x
  3. Step 3: Cross multiply
    98.26x = 135.49 × 65.45
  4. Step 4: Simplify right side
    98.26x = 8,867.82
  5. Step 5: Solve for x
    x = 8,867.82/98.26
  6. Step 6: Final answer
    x = 90.25

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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.