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Finding the Fourth Proportional to 85.47, 117.89 and 60.86

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Solution

The fourth proportional to 85.47, 117.89 and 60.86 is: 83.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.47 : 117.89 = 60.86 : x
  2. Step 2: Convert to fraction form
    85.47/117.89 = 60.86/x
  3. Step 3: Cross multiply
    85.47x = 117.89 × 60.86
  4. Step 4: Simplify right side
    85.47x = 7,174.79
  5. Step 5: Solve for x
    x = 7,174.79/85.47
  6. Step 6: Final answer
    x = 83.95

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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.