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Finding the Fourth Proportional to 42.84, 59.22 and 31.95

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Solution

The fourth proportional to 42.84, 59.22 and 31.95 is: 44.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.84 : 59.22 = 31.95 : x
  2. Step 2: Convert to fraction form
    42.84/59.22 = 31.95/x
  3. Step 3: Cross multiply
    42.84x = 59.22 × 31.95
  4. Step 4: Simplify right side
    42.84x = 1,892.08
  5. Step 5: Solve for x
    x = 1,892.08/42.84
  6. Step 6: Final answer
    x = 44.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.