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Finding the Fourth Proportional to 86.53, 118.61 and 85.63

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Solution

The fourth proportional to 86.53, 118.61 and 85.63 is: 117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.53 : 118.61 = 85.63 : x
  2. Step 2: Convert to fraction form
    86.53/118.61 = 85.63/x
  3. Step 3: Cross multiply
    86.53x = 118.61 × 85.63
  4. Step 4: Simplify right side
    86.53x = 10,156.57
  5. Step 5: Solve for x
    x = 10,156.57/86.53
  6. Step 6: Final answer
    x = 117.38

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.