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Finding the Fourth Proportional to 82.34, 123.54 and 41.75

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Solution

The fourth proportional to 82.34, 123.54 and 41.75 is: 62.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.34 : 123.54 = 41.75 : x
  2. Step 2: Convert to fraction form
    82.34/123.54 = 41.75/x
  3. Step 3: Cross multiply
    82.34x = 123.54 × 41.75
  4. Step 4: Simplify right side
    82.34x = 5,157.48
  5. Step 5: Solve for x
    x = 5,157.48/82.34
  6. Step 6: Final answer
    x = 62.64

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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.