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Finding the Fourth Proportional to 111.73, 153.95 and 89.86

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Solution

The fourth proportional to 111.73, 153.95 and 89.86 is: 123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.73 : 153.95 = 89.86 : x
  2. Step 2: Convert to fraction form
    111.73/153.95 = 89.86/x
  3. Step 3: Cross multiply
    111.73x = 153.95 × 89.86
  4. Step 4: Simplify right side
    111.73x = 13,833.95
  5. Step 5: Solve for x
    x = 13,833.95/111.73
  6. Step 6: Final answer
    x = 123.82

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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.