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Finding the Fourth Proportional to 55.31, 76.38 and 48.49

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Solution

The fourth proportional to 55.31, 76.38 and 48.49 is: 66.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.31 : 76.38 = 48.49 : x
  2. Step 2: Convert to fraction form
    55.31/76.38 = 48.49/x
  3. Step 3: Cross multiply
    55.31x = 76.38 × 48.49
  4. Step 4: Simplify right side
    55.31x = 3,703.48
  5. Step 5: Solve for x
    x = 3,703.48/55.31
  6. Step 6: Final answer
    x = 66.96

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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.