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Finding the Fourth Proportional to 86.29, 119.06 and 53.12

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Solution

The fourth proportional to 86.29, 119.06 and 53.12 is: 73.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.29 : 119.06 = 53.12 : x
  2. Step 2: Convert to fraction form
    86.29/119.06 = 53.12/x
  3. Step 3: Cross multiply
    86.29x = 119.06 × 53.12
  4. Step 4: Simplify right side
    86.29x = 6,323.61
  5. Step 5: Solve for x
    x = 6,323.61/86.29
  6. Step 6: Final answer
    x = 73.29

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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.