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Finding the Fourth Proportional to 55.64, 77.04 and 54.68

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Solution

The fourth proportional to 55.64, 77.04 and 54.68 is: 75.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.64 : 77.04 = 54.68 : x
  2. Step 2: Convert to fraction form
    55.64/77.04 = 54.68/x
  3. Step 3: Cross multiply
    55.64x = 77.04 × 54.68
  4. Step 4: Simplify right side
    55.64x = 4,212.55
  5. Step 5: Solve for x
    x = 4,212.55/55.64
  6. Step 6: Final answer
    x = 75.71

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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.