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Finding the Fourth Proportional to 71.80, 98.92 and 55.37

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Solution

The fourth proportional to 71.80, 98.92 and 55.37 is: 76.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.80 : 98.92 = 55.37 : x
  2. Step 2: Convert to fraction form
    71.80/98.92 = 55.37/x
  3. Step 3: Cross multiply
    71.80x = 98.92 × 55.37
  4. Step 4: Simplify right side
    71.80x = 5,477.20
  5. Step 5: Solve for x
    x = 5,477.20/71.80
  6. Step 6: Final answer
    x = 76.28

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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.