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Finding the Fourth Proportional to 111.07, 153.16 and 83.44

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Solution

The fourth proportional to 111.07, 153.16 and 83.44 is: 115.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.07 : 153.16 = 83.44 : x
  2. Step 2: Convert to fraction form
    111.07/153.16 = 83.44/x
  3. Step 3: Cross multiply
    111.07x = 153.16 × 83.44
  4. Step 4: Simplify right side
    111.07x = 12,779.67
  5. Step 5: Solve for x
    x = 12,779.67/111.07
  6. Step 6: Final answer
    x = 115.06

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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.