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Finding the Fourth Proportional to 84.33, 116.35 and 51.57

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Solution

The fourth proportional to 84.33, 116.35 and 51.57 is: 71.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.33 : 116.35 = 51.57 : x
  2. Step 2: Convert to fraction form
    84.33/116.35 = 51.57/x
  3. Step 3: Cross multiply
    84.33x = 116.35 × 51.57
  4. Step 4: Simplify right side
    84.33x = 6,000.04
  5. Step 5: Solve for x
    x = 6,000.04/84.33
  6. Step 6: Final answer
    x = 71.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.