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Finding the Fourth Proportional to 58.92, 87.94 and 52.08

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Solution

The fourth proportional to 58.92, 87.94 and 52.08 is: 77.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.92 : 87.94 = 52.08 : x
  2. Step 2: Convert to fraction form
    58.92/87.94 = 52.08/x
  3. Step 3: Cross multiply
    58.92x = 87.94 × 52.08
  4. Step 4: Simplify right side
    58.92x = 4,579.92
  5. Step 5: Solve for x
    x = 4,579.92/58.92
  6. Step 6: Final answer
    x = 77.73

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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.