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Finding the Fourth Proportional to 58.18, 86.84 and 52.09

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Solution

The fourth proportional to 58.18, 86.84 and 52.09 is: 77.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.18 : 86.84 = 52.09 : x
  2. Step 2: Convert to fraction form
    58.18/86.84 = 52.09/x
  3. Step 3: Cross multiply
    58.18x = 86.84 × 52.09
  4. Step 4: Simplify right side
    58.18x = 4,523.50
  5. Step 5: Solve for x
    x = 4,523.50/58.18
  6. Step 6: Final answer
    x = 77.75

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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.