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Finding the Fourth Proportional to 86.01, 118.64 and 61.52

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Solution

The fourth proportional to 86.01, 118.64 and 61.52 is: 84.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.01 : 118.64 = 61.52 : x
  2. Step 2: Convert to fraction form
    86.01/118.64 = 61.52/x
  3. Step 3: Cross multiply
    86.01x = 118.64 × 61.52
  4. Step 4: Simplify right side
    86.01x = 7,297.83
  5. Step 5: Solve for x
    x = 7,297.83/86.01
  6. Step 6: Final answer
    x = 84.85

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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.