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Finding the Fourth Proportional to 119.52, 164.87 and 72.86

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Solution

The fourth proportional to 119.52, 164.87 and 72.86 is: 100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    119.52 : 164.87 = 72.86 : x
  2. Step 2: Convert to fraction form
    119.52/164.87 = 72.86/x
  3. Step 3: Cross multiply
    119.52x = 164.87 × 72.86
  4. Step 4: Simplify right side
    119.52x = 12,012.43
  5. Step 5: Solve for x
    x = 12,012.43/119.52
  6. Step 6: Final answer
    x = 100.51

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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.