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Finding the Fourth Proportional to 59.05, 88.41 and 57.13

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Solution

The fourth proportional to 59.05, 88.41 and 57.13 is: 85.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.05 : 88.41 = 57.13 : x
  2. Step 2: Convert to fraction form
    59.05/88.41 = 57.13/x
  3. Step 3: Cross multiply
    59.05x = 88.41 × 57.13
  4. Step 4: Simplify right side
    59.05x = 5,050.86
  5. Step 5: Solve for x
    x = 5,050.86/59.05
  6. Step 6: Final answer
    x = 85.54

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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.