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Finding the Fourth Proportional to 59.20, 88.16 and 57.60

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Solution

The fourth proportional to 59.20, 88.16 and 57.60 is: 85.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.20 : 88.16 = 57.60 : x
  2. Step 2: Convert to fraction form
    59.20/88.16 = 57.60/x
  3. Step 3: Cross multiply
    59.20x = 88.16 × 57.60
  4. Step 4: Simplify right side
    59.20x = 5,078.02
  5. Step 5: Solve for x
    x = 5,078.02/59.20
  6. Step 6: Final answer
    x = 85.78

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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.