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Finding the Fourth Proportional to 82.02, 123.50 and 58.14

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Solution

The fourth proportional to 82.02, 123.50 and 58.14 is: 87.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.02 : 123.50 = 58.14 : x
  2. Step 2: Convert to fraction form
    82.02/123.50 = 58.14/x
  3. Step 3: Cross multiply
    82.02x = 123.50 × 58.14
  4. Step 4: Simplify right side
    82.02x = 7,180.29
  5. Step 5: Solve for x
    x = 7,180.29/82.02
  6. Step 6: Final answer
    x = 87.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.