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Finding the Fourth Proportional to 59.20, 88.37 and 57.38

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Solution

The fourth proportional to 59.20, 88.37 and 57.38 is: 85.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.20 : 88.37 = 57.38 : x
  2. Step 2: Convert to fraction form
    59.20/88.37 = 57.38/x
  3. Step 3: Cross multiply
    59.20x = 88.37 × 57.38
  4. Step 4: Simplify right side
    59.20x = 5,069.94
  5. Step 5: Solve for x
    x = 5,069.94/59.20
  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.