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Finding the Fourth Proportional to 82.34, 113.64 and 49.16

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Solution

The fourth proportional to 82.34, 113.64 and 49.16 is: 67.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    82.34 : 113.64 = 49.16 : x
  2. Step 2: Convert to fraction form
    82.34/113.64 = 49.16/x
  3. Step 3: Cross multiply
    82.34x = 113.64 × 49.16
  4. Step 4: Simplify right side
    82.34x = 5,586.28
  5. Step 5: Solve for x
    x = 5,586.28/82.34
  6. Step 6: Final answer
    x = 67.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.