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Finding the Fourth Proportional to 55.89, 83.43 and 52.05

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Solution

The fourth proportional to 55.89, 83.43 and 52.05 is: 77.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.89 : 83.43 = 52.05 : x
  2. Step 2: Convert to fraction form
    55.89/83.43 = 52.05/x
  3. Step 3: Cross multiply
    55.89x = 83.43 × 52.05
  4. Step 4: Simplify right side
    55.89x = 4,342.53
  5. Step 5: Solve for x
    x = 4,342.53/55.89
  6. Step 6: Final answer
    x = 77.70

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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.