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Finding the Fourth Proportional to 85.99, 129.17 and 55.63

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Solution

The fourth proportional to 85.99, 129.17 and 55.63 is: 83.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.99 : 129.17 = 55.63 : x
  2. Step 2: Convert to fraction form
    85.99/129.17 = 55.63/x
  3. Step 3: Cross multiply
    85.99x = 129.17 × 55.63
  4. Step 4: Simplify right side
    85.99x = 7,185.73
  5. Step 5: Solve for x
    x = 7,185.73/85.99
  6. Step 6: Final answer
    x = 83.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.