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Finding the Fourth Proportional to 98.49, 135.83 and 65.78

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Solution

The fourth proportional to 98.49, 135.83 and 65.78 is: 90.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.49 : 135.83 = 65.78 : x
  2. Step 2: Convert to fraction form
    98.49/135.83 = 65.78/x
  3. Step 3: Cross multiply
    98.49x = 135.83 × 65.78
  4. Step 4: Simplify right side
    98.49x = 8,933.89
  5. Step 5: Solve for x
    x = 8,933.89/98.49
  6. Step 6: Final answer
    x = 90.71

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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.