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Finding the Fourth Proportional to 83.29, 114.89 and 53.77

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Solution

The fourth proportional to 83.29, 114.89 and 53.77 is: 74.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.29 : 114.89 = 53.77 : x
  2. Step 2: Convert to fraction form
    83.29/114.89 = 53.77/x
  3. Step 3: Cross multiply
    83.29x = 114.89 × 53.77
  4. Step 4: Simplify right side
    83.29x = 6,177.64
  5. Step 5: Solve for x
    x = 6,177.64/83.29
  6. Step 6: Final answer
    x = 74.17

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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.