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Finding the Fourth Proportional to 61.68, 85.16 and 40.96

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Solution

The fourth proportional to 61.68, 85.16 and 40.96 is: 56.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.68 : 85.16 = 40.96 : x
  2. Step 2: Convert to fraction form
    61.68/85.16 = 40.96/x
  3. Step 3: Cross multiply
    61.68x = 85.16 × 40.96
  4. Step 4: Simplify right side
    61.68x = 3,488.15
  5. Step 5: Solve for x
    x = 3,488.15/61.68
  6. Step 6: Final answer
    x = 56.55

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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.