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Finding the Fourth Proportional to 59.65, 89.04 and 57.37

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Solution

The fourth proportional to 59.65, 89.04 and 57.37 is: 85.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.65 : 89.04 = 57.37 : x
  2. Step 2: Convert to fraction form
    59.65/89.04 = 57.37/x
  3. Step 3: Cross multiply
    59.65x = 89.04 × 57.37
  4. Step 4: Simplify right side
    59.65x = 5,108.22
  5. Step 5: Solve for x
    x = 5,108.22/59.65
  6. Step 6: Final answer
    x = 85.64

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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.