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Finding the Fourth Proportional to 118.86, 164.07 and 89.70

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Solution

The fourth proportional to 118.86, 164.07 and 89.70 is: 123.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.86 : 164.07 = 89.70 : x
  2. Step 2: Convert to fraction form
    118.86/164.07 = 89.70/x
  3. Step 3: Cross multiply
    118.86x = 164.07 × 89.70
  4. Step 4: Simplify right side
    118.86x = 14,717.08
  5. Step 5: Solve for x
    x = 14,717.08/118.86
  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.