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Finding the Fourth Proportional to 82.14, 123.18 and 46.08

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Solution

The fourth proportional to 82.14, 123.18 and 46.08 is: 69.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.14 : 123.18 = 46.08 : x
  2. Step 2: Convert to fraction form
    82.14/123.18 = 46.08/x
  3. Step 3: Cross multiply
    82.14x = 123.18 × 46.08
  4. Step 4: Simplify right side
    82.14x = 5,676.13
  5. Step 5: Solve for x
    x = 5,676.13/82.14
  6. Step 6: Final answer
    x = 69.10

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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.