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Finding the Fourth Proportional to 58.05, 87.12 and 30.96

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Solution

The fourth proportional to 58.05, 87.12 and 30.96 is: 46.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.05 : 87.12 = 30.96 : x
  2. Step 2: Convert to fraction form
    58.05/87.12 = 30.96/x
  3. Step 3: Cross multiply
    58.05x = 87.12 × 30.96
  4. Step 4: Simplify right side
    58.05x = 2,697.24
  5. Step 5: Solve for x
    x = 2,697.24/58.05
  6. Step 6: Final answer
    x = 46.46

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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.