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Finding the Fourth Proportional to 118.94, 164.08 and 89.48

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Solution

The fourth proportional to 118.94, 164.08 and 89.48 is: 123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    118.94 : 164.08 = 89.48 : x
  2. Step 2: Convert to fraction form
    118.94/164.08 = 89.48/x
  3. Step 3: Cross multiply
    118.94x = 164.08 × 89.48
  4. Step 4: Simplify right side
    118.94x = 14,682.40
  5. Step 5: Solve for x
    x = 14,682.40/118.94
  6. Step 6: Final answer
    x = 123.45

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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.