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Finding the Fourth Proportional to 55.75, 76.94 and 42.84

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Solution

The fourth proportional to 55.75, 76.94 and 42.84 is: 59.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.75 : 76.94 = 42.84 : x
  2. Step 2: Convert to fraction form
    55.75/76.94 = 42.84/x
  3. Step 3: Cross multiply
    55.75x = 76.94 × 42.84
  4. Step 4: Simplify right side
    55.75x = 3,296.11
  5. Step 5: Solve for x
    x = 3,296.11/55.75
  6. Step 6: Final answer
    x = 59.12

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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.