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Finding the Fourth Proportional to 55.31, 76.31 and 31.98

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Solution

The fourth proportional to 55.31, 76.31 and 31.98 is: 44.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.31 : 76.31 = 31.98 : x
  2. Step 2: Convert to fraction form
    55.31/76.31 = 31.98/x
  3. Step 3: Cross multiply
    55.31x = 76.31 × 31.98
  4. Step 4: Simplify right side
    55.31x = 2,440.23
  5. Step 5: Solve for x
    x = 2,440.23/55.31
  6. Step 6: Final answer
    x = 44.12

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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.