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Finding the Fourth Proportional to 119.23, 164.51 and 75.02

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Solution

The fourth proportional to 119.23, 164.51 and 75.02 is: 103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.23 : 164.51 = 75.02 : x
  2. Step 2: Convert to fraction form
    119.23/164.51 = 75.02/x
  3. Step 3: Cross multiply
    119.23x = 164.51 × 75.02
  4. Step 4: Simplify right side
    119.23x = 12,341.13
  5. Step 5: Solve for x
    x = 12,341.13/119.23
  6. Step 6: Final answer
    x = 103.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.