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Finding the Fourth Proportional to 85.53, 117.24 and 84.63

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Solution

The fourth proportional to 85.53, 117.24 and 84.63 is: 116.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.53 : 117.24 = 84.63 : x
  2. Step 2: Convert to fraction form
    85.53/117.24 = 84.63/x
  3. Step 3: Cross multiply
    85.53x = 117.24 × 84.63
  4. Step 4: Simplify right side
    85.53x = 9,922.02
  5. Step 5: Solve for x
    x = 9,922.02/85.53
  6. Step 6: Final answer
    x = 116.01

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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.