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Finding the Fourth Proportional to 42.84, 59.16 and 31.22

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Solution

The fourth proportional to 42.84, 59.16 and 31.22 is: 43.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.84 : 59.16 = 31.22 : x
  2. Step 2: Convert to fraction form
    42.84/59.16 = 31.22/x
  3. Step 3: Cross multiply
    42.84x = 59.16 × 31.22
  4. Step 4: Simplify right side
    42.84x = 1,847.02
  5. Step 5: Solve for x
    x = 1,847.02/42.84
  6. Step 6: Final answer
    x = 43.11

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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.