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Finding the Fourth Proportional to 86.38, 118.99 and 72.64

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Solution

The fourth proportional to 86.38, 118.99 and 72.64 is: 100.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.38 : 118.99 = 72.64 : x
  2. Step 2: Convert to fraction form
    86.38/118.99 = 72.64/x
  3. Step 3: Cross multiply
    86.38x = 118.99 × 72.64
  4. Step 4: Simplify right side
    86.38x = 8,642.95
  5. Step 5: Solve for x
    x = 8,642.95/86.38
  6. Step 6: Final answer
    x = 100.06

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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.