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Finding the Fourth Proportional to 111.51, 153.07 and 98.96

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Solution

The fourth proportional to 111.51, 153.07 and 98.96 is: 135.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.51 : 153.07 = 98.96 : x
  2. Step 2: Convert to fraction form
    111.51/153.07 = 98.96/x
  3. Step 3: Cross multiply
    111.51x = 153.07 × 98.96
  4. Step 4: Simplify right side
    111.51x = 15,146.55
  5. Step 5: Solve for x
    x = 15,146.55/111.51
  6. Step 6: Final answer
    x = 135.83

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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.