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Finding the Fourth Proportional to 61.20, 84.12 and 53.88

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Solution

The fourth proportional to 61.20, 84.12 and 53.88 is: 74.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.20 : 84.12 = 53.88 : x
  2. Step 2: Convert to fraction form
    61.20/84.12 = 53.88/x
  3. Step 3: Cross multiply
    61.20x = 84.12 × 53.88
  4. Step 4: Simplify right side
    61.20x = 4,532.39
  5. Step 5: Solve for x
    x = 4,532.39/61.20
  6. Step 6: Final answer
    x = 74.06

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.