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Finding the Fourth Proportional to 84.50, 116.62 and 55.42

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Solution

The fourth proportional to 84.50, 116.62 and 55.42 is: 76.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.50 : 116.62 = 55.42 : x
  2. Step 2: Convert to fraction form
    84.50/116.62 = 55.42/x
  3. Step 3: Cross multiply
    84.50x = 116.62 × 55.42
  4. Step 4: Simplify right side
    84.50x = 6,463.08
  5. Step 5: Solve for x
    x = 6,463.08/84.50
  6. Step 6: Final answer
    x = 76.49

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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.