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Finding the Fourth Proportional to 55.61, 83.82 and 52.47

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Solution

The fourth proportional to 55.61, 83.82 and 52.47 is: 79.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.61 : 83.82 = 52.47 : x
  2. Step 2: Convert to fraction form
    55.61/83.82 = 52.47/x
  3. Step 3: Cross multiply
    55.61x = 83.82 × 52.47
  4. Step 4: Simplify right side
    55.61x = 4,398.04
  5. Step 5: Solve for x
    x = 4,398.04/55.61
  6. Step 6: Final answer
    x = 79.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.