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Finding the Fourth Proportional to 85.86, 129.46 and 84.24

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Solution

The fourth proportional to 85.86, 129.46 and 84.24 is: 127.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.86 : 129.46 = 84.24 : x
  2. Step 2: Convert to fraction form
    85.86/129.46 = 84.24/x
  3. Step 3: Cross multiply
    85.86x = 129.46 × 84.24
  4. Step 4: Simplify right side
    85.86x = 10,905.27
  5. Step 5: Solve for x
    x = 10,905.27/85.86
  6. Step 6: Final answer
    x = 127.02

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.