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Finding the Fourth Proportional to 82.34, 123.41 and 46.20

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Solution

The fourth proportional to 82.34, 123.41 and 46.20 is: 69.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.34 : 123.41 = 46.20 : x
  2. Step 2: Convert to fraction form
    82.34/123.41 = 46.20/x
  3. Step 3: Cross multiply
    82.34x = 123.41 × 46.20
  4. Step 4: Simplify right side
    82.34x = 5,701.66
  5. Step 5: Solve for x
    x = 5,701.66/82.34
  6. Step 6: Final answer
    x = 69.25

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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.