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Finding the Fourth Proportional to 84.50, 116.55 and 51.72

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Solution

The fourth proportional to 84.50, 116.55 and 51.72 is: 71.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.50 : 116.55 = 51.72 : x
  2. Step 2: Convert to fraction form
    84.50/116.55 = 51.72/x
  3. Step 3: Cross multiply
    84.50x = 116.55 × 51.72
  4. Step 4: Simplify right side
    84.50x = 6,027.97
  5. Step 5: Solve for x
    x = 6,027.97/84.50
  6. Step 6: Final answer
    x = 71.34

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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.