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Finding the Fourth Proportional to 82.23, 123.12 and 56.49

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Solution

The fourth proportional to 82.23, 123.12 and 56.49 is: 84.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.23 : 123.12 = 56.49 : x
  2. Step 2: Convert to fraction form
    82.23/123.12 = 56.49/x
  3. Step 3: Cross multiply
    82.23x = 123.12 × 56.49
  4. Step 4: Simplify right side
    82.23x = 6,955.05
  5. Step 5: Solve for x
    x = 6,955.05/82.23
  6. Step 6: Final answer
    x = 84.58

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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.