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Finding the Fourth Proportional to 98.70, 135.64 and 94.19

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Solution

The fourth proportional to 98.70, 135.64 and 94.19 is: 129.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    98.70 : 135.64 = 94.19 : x
  2. Step 2: Convert to fraction form
    98.70/135.64 = 94.19/x
  3. Step 3: Cross multiply
    98.70x = 135.64 × 94.19
  4. Step 4: Simplify right side
    98.70x = 12,775.93
  5. Step 5: Solve for x
    x = 12,775.93/98.70
  6. Step 6: Final answer
    x = 129.44

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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.