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Finding the Fourth Proportional to 83.24, 114.92 and 54.16

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Solution

The fourth proportional to 83.24, 114.92 and 54.16 is: 74.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.24 : 114.92 = 54.16 : x
  2. Step 2: Convert to fraction form
    83.24/114.92 = 54.16/x
  3. Step 3: Cross multiply
    83.24x = 114.92 × 54.16
  4. Step 4: Simplify right side
    83.24x = 6,224.07
  5. Step 5: Solve for x
    x = 6,224.07/83.24
  6. Step 6: Final answer
    x = 74.77

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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.