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Finding the Fourth Proportional to 85.56, 127.81 and 59.66

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Solution

The fourth proportional to 85.56, 127.81 and 59.66 is: 89.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.56 : 127.81 = 59.66 : x
  2. Step 2: Convert to fraction form
    85.56/127.81 = 59.66/x
  3. Step 3: Cross multiply
    85.56x = 127.81 × 59.66
  4. Step 4: Simplify right side
    85.56x = 7,625.06
  5. Step 5: Solve for x
    x = 7,625.06/85.56
  6. Step 6: Final answer
    x = 89.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.