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Finding the Fourth Proportional to 55.49, 83.08 and 52.14

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Solution

The fourth proportional to 55.49, 83.08 and 52.14 is: 78.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.49 : 83.08 = 52.14 : x
  2. Step 2: Convert to fraction form
    55.49/83.08 = 52.14/x
  3. Step 3: Cross multiply
    55.49x = 83.08 × 52.14
  4. Step 4: Simplify right side
    55.49x = 4,331.87
  5. Step 5: Solve for x
    x = 4,331.87/55.49
  6. Step 6: Final answer
    x = 78.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.