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Finding the Fourth Proportional to 98.68, 135.29 and 97.84

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Solution

The fourth proportional to 98.68, 135.29 and 97.84 is: 134.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.68 : 135.29 = 97.84 : x
  2. Step 2: Convert to fraction form
    98.68/135.29 = 97.84/x
  3. Step 3: Cross multiply
    98.68x = 135.29 × 97.84
  4. Step 4: Simplify right side
    98.68x = 13,236.77
  5. Step 5: Solve for x
    x = 13,236.77/98.68
  6. Step 6: Final answer
    x = 134.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.