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Finding the Fourth Proportional to 83.84, 115.65 and 54.32

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Solution

The fourth proportional to 83.84, 115.65 and 54.32 is: 74.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.84 : 115.65 = 54.32 : x
  2. Step 2: Convert to fraction form
    83.84/115.65 = 54.32/x
  3. Step 3: Cross multiply
    83.84x = 115.65 × 54.32
  4. Step 4: Simplify right side
    83.84x = 6,282.11
  5. Step 5: Solve for x
    x = 6,282.11/83.84
  6. Step 6: Final answer
    x = 74.93

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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.