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Finding the Fourth Proportional to 58.62, 87.89 and 32.96

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Solution

The fourth proportional to 58.62, 87.89 and 32.96 is: 49.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.62 : 87.89 = 32.96 : x
  2. Step 2: Convert to fraction form
    58.62/87.89 = 32.96/x
  3. Step 3: Cross multiply
    58.62x = 87.89 × 32.96
  4. Step 4: Simplify right side
    58.62x = 2,896.25
  5. Step 5: Solve for x
    x = 2,896.25/58.62
  6. Step 6: Final answer
    x = 49.41

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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.