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Finding the Fourth Proportional to 85.00, 127.57 and 59.37

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Solution

The fourth proportional to 85.00, 127.57 and 59.37 is: 89.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.00 : 127.57 = 59.37 : x
  2. Step 2: Convert to fraction form
    85.00/127.57 = 59.37/x
  3. Step 3: Cross multiply
    85.00x = 127.57 × 59.37
  4. Step 4: Simplify right side
    85.00x = 7,574.03
  5. Step 5: Solve for x
    x = 7,574.03/85.00
  6. Step 6: Final answer
    x = 89.11

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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.