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Finding the Fourth Proportional to 59.04, 87.86 and 57.09

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Solution

The fourth proportional to 59.04, 87.86 and 57.09 is: 84.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    59.04 : 87.86 = 57.09 : x
  2. Step 2: Convert to fraction form
    59.04/87.86 = 57.09/x
  3. Step 3: Cross multiply
    59.04x = 87.86 × 57.09
  4. Step 4: Simplify right side
    59.04x = 5,015.86
  5. Step 5: Solve for x
    x = 5,015.86/59.04
  6. Step 6: Final answer
    x = 84.96

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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.