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Finding the Fourth Proportional to 85.86, 118.64 and 61.26

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Solution

The fourth proportional to 85.86, 118.64 and 61.26 is: 84.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.86 : 118.64 = 61.26 : x
  2. Step 2: Convert to fraction form
    85.86/118.64 = 61.26/x
  3. Step 3: Cross multiply
    85.86x = 118.64 × 61.26
  4. Step 4: Simplify right side
    85.86x = 7,267.48
  5. Step 5: Solve for x
    x = 7,267.48/85.86
  6. Step 6: Final answer
    x = 84.64

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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.