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Finding the Fourth Proportional to 111.16, 153.57 and 98.83

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Solution

The fourth proportional to 111.16, 153.57 and 98.83 is: 136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.16 : 153.57 = 98.83 : x
  2. Step 2: Convert to fraction form
    111.16/153.57 = 98.83/x
  3. Step 3: Cross multiply
    111.16x = 153.57 × 98.83
  4. Step 4: Simplify right side
    111.16x = 15,177.32
  5. Step 5: Solve for x
    x = 15,177.32/111.16
  6. Step 6: Final answer
    x = 136.54

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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.