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Finding the Fourth Proportional to 84.26, 116.24 and 56.54

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Solution

The fourth proportional to 84.26, 116.24 and 56.54 is: 78.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.26 : 116.24 = 56.54 : x
  2. Step 2: Convert to fraction form
    84.26/116.24 = 56.54/x
  3. Step 3: Cross multiply
    84.26x = 116.24 × 56.54
  4. Step 4: Simplify right side
    84.26x = 6,572.21
  5. Step 5: Solve for x
    x = 6,572.21/84.26
  6. Step 6: Final answer
    x = 78.00

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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.