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Finding the Fourth Proportional to 119.58, 164.79 and 85.02

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Solution

The fourth proportional to 119.58, 164.79 and 85.02 is: 117.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.58 : 164.79 = 85.02 : x
  2. Step 2: Convert to fraction form
    119.58/164.79 = 85.02/x
  3. Step 3: Cross multiply
    119.58x = 164.79 × 85.02
  4. Step 4: Simplify right side
    119.58x = 14,010.45
  5. Step 5: Solve for x
    x = 14,010.45/119.58
  6. Step 6: Final answer
    x = 117.16

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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.