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Finding the Fourth Proportional to 84.32, 116.31 and 51.57

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Solution

The fourth proportional to 84.32, 116.31 and 51.57 is: 71.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.32 : 116.31 = 51.57 : x
  2. Step 2: Convert to fraction form
    84.32/116.31 = 51.57/x
  3. Step 3: Cross multiply
    84.32x = 116.31 × 51.57
  4. Step 4: Simplify right side
    84.32x = 5,998.11
  5. Step 5: Solve for x
    x = 5,998.11/84.32
  6. Step 6: Final answer
    x = 71.14

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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.