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Finding the Fourth Proportional to 119.65, 164.96 and 86.50

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Solution

The fourth proportional to 119.65, 164.96 and 86.50 is: 119.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.65 : 164.96 = 86.50 : x
  2. Step 2: Convert to fraction form
    119.65/164.96 = 86.50/x
  3. Step 3: Cross multiply
    119.65x = 164.96 × 86.50
  4. Step 4: Simplify right side
    119.65x = 14,268.49
  5. Step 5: Solve for x
    x = 14,268.49/119.65
  6. Step 6: Final answer
    x = 119.26

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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.