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Finding the Fourth Proportional to 57.91, 79.77 and 55.03

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Solution

The fourth proportional to 57.91, 79.77 and 55.03 is: 75.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.91 : 79.77 = 55.03 : x
  2. Step 2: Convert to fraction form
    57.91/79.77 = 55.03/x
  3. Step 3: Cross multiply
    57.91x = 79.77 × 55.03
  4. Step 4: Simplify right side
    57.91x = 4,389.74
  5. Step 5: Solve for x
    x = 4,389.74/57.91
  6. Step 6: Final answer
    x = 75.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.