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Finding the Fourth Proportional to 111.18, 153.45 and 83.61

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Solution

The fourth proportional to 111.18, 153.45 and 83.61 is: 115.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.18 : 153.45 = 83.61 : x
  2. Step 2: Convert to fraction form
    111.18/153.45 = 83.61/x
  3. Step 3: Cross multiply
    111.18x = 153.45 × 83.61
  4. Step 4: Simplify right side
    111.18x = 12,829.95
  5. Step 5: Solve for x
    x = 12,829.95/111.18
  6. Step 6: Final answer
    x = 115.40

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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.