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Finding the Fourth Proportional to 55.72, 83.15 and 53.68

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Solution

The fourth proportional to 55.72, 83.15 and 53.68 is: 80.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.72 : 83.15 = 53.68 : x
  2. Step 2: Convert to fraction form
    55.72/83.15 = 53.68/x
  3. Step 3: Cross multiply
    55.72x = 83.15 × 53.68
  4. Step 4: Simplify right side
    55.72x = 4,463.49
  5. Step 5: Solve for x
    x = 4,463.49/55.72
  6. Step 6: Final answer
    x = 80.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.