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Finding the Fourth Proportional to 58.73, 87.57 and 55.80

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Solution

The fourth proportional to 58.73, 87.57 and 55.80 is: 83.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    58.73 : 87.57 = 55.80 : x
  2. Step 2: Convert to fraction form
    58.73/87.57 = 55.80/x
  3. Step 3: Cross multiply
    58.73x = 87.57 × 55.80
  4. Step 4: Simplify right side
    58.73x = 4,886.41
  5. Step 5: Solve for x
    x = 4,886.41/58.73
  6. Step 6: Final answer
    x = 83.21

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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.