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Finding the Fourth Proportional to 55.98, 84.12 and 31.95

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Solution

The fourth proportional to 55.98, 84.12 and 31.95 is: 48.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.98 : 84.12 = 31.95 : x
  2. Step 2: Convert to fraction form
    55.98/84.12 = 31.95/x
  3. Step 3: Cross multiply
    55.98x = 84.12 × 31.95
  4. Step 4: Simplify right side
    55.98x = 2,687.63
  5. Step 5: Solve for x
    x = 2,687.63/55.98
  6. Step 6: Final answer
    x = 48.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.