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Finding the Fourth Proportional to 86.21, 118.95 and 53.47

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Solution

The fourth proportional to 86.21, 118.95 and 53.47 is: 73.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.21 : 118.95 = 53.47 : x
  2. Step 2: Convert to fraction form
    86.21/118.95 = 53.47/x
  3. Step 3: Cross multiply
    86.21x = 118.95 × 53.47
  4. Step 4: Simplify right side
    86.21x = 6,360.26
  5. Step 5: Solve for x
    x = 6,360.26/86.21
  6. Step 6: Final answer
    x = 73.78

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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.