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Finding the Fourth Proportional to 111.26, 152.79 and 98.98

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Solution

The fourth proportional to 111.26, 152.79 and 98.98 is: 135.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.26 : 152.79 = 98.98 : x
  2. Step 2: Convert to fraction form
    111.26/152.79 = 98.98/x
  3. Step 3: Cross multiply
    111.26x = 152.79 × 98.98
  4. Step 4: Simplify right side
    111.26x = 15,123.15
  5. Step 5: Solve for x
    x = 15,123.15/111.26
  6. Step 6: Final answer
    x = 135.93

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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.