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Finding the Fourth Proportional to 84.61, 116.65 and 56.92

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Solution

The fourth proportional to 84.61, 116.65 and 56.92 is: 78.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    84.61 : 116.65 = 56.92 : x
  2. Step 2: Convert to fraction form
    84.61/116.65 = 56.92/x
  3. Step 3: Cross multiply
    84.61x = 116.65 × 56.92
  4. Step 4: Simplify right side
    84.61x = 6,638.85
  5. Step 5: Solve for x
    x = 6,638.85/84.61
  6. Step 6: Final answer
    x = 78.47

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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.