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Finding the Fourth Proportional to 55.94, 77.04 and 42.08

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Solution

The fourth proportional to 55.94, 77.04 and 42.08 is: 57.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.94 : 77.04 = 42.08 : x
  2. Step 2: Convert to fraction form
    55.94/77.04 = 42.08/x
  3. Step 3: Cross multiply
    55.94x = 77.04 × 42.08
  4. Step 4: Simplify right side
    55.94x = 3,241.84
  5. Step 5: Solve for x
    x = 3,241.84/55.94
  6. Step 6: Final answer
    x = 57.95

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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.