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Finding the Fourth Proportional to 61.12, 84.38 and 40.40

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Solution

The fourth proportional to 61.12, 84.38 and 40.40 is: 55.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.12 : 84.38 = 40.40 : x
  2. Step 2: Convert to fraction form
    61.12/84.38 = 40.40/x
  3. Step 3: Cross multiply
    61.12x = 84.38 × 40.40
  4. Step 4: Simplify right side
    61.12x = 3,408.95
  5. Step 5: Solve for x
    x = 3,408.95/61.12
  6. Step 6: Final answer
    x = 55.77

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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.