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Finding the Fourth Proportional to 82.58, 123.69 and 58.46

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Solution

The fourth proportional to 82.58, 123.69 and 58.46 is: 87.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.58 : 123.69 = 58.46 : x
  2. Step 2: Convert to fraction form
    82.58/123.69 = 58.46/x
  3. Step 3: Cross multiply
    82.58x = 123.69 × 58.46
  4. Step 4: Simplify right side
    82.58x = 7,230.92
  5. Step 5: Solve for x
    x = 7,230.92/82.58
  6. Step 6: Final answer
    x = 87.56

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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.