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Finding the Fourth Proportional to 55.94, 77.00 and 42.12

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Solution

The fourth proportional to 55.94, 77.00 and 42.12 is: 57.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.94 : 77.00 = 42.12 : x
  2. Step 2: Convert to fraction form
    55.94/77.00 = 42.12/x
  3. Step 3: Cross multiply
    55.94x = 77.00 × 42.12
  4. Step 4: Simplify right side
    55.94x = 3,243.27
  5. Step 5: Solve for x
    x = 3,243.27/55.94
  6. Step 6: Final answer
    x = 57.98

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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.