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Finding the Fourth Proportional to 55.60, 77.04 and 54.94

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Solution

The fourth proportional to 55.60, 77.04 and 54.94 is: 76.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    55.60 : 77.04 = 54.94 : x
  2. Step 2: Convert to fraction form
    55.60/77.04 = 54.94/x
  3. Step 3: Cross multiply
    55.60x = 77.04 × 54.94
  4. Step 4: Simplify right side
    55.60x = 4,232.58
  5. Step 5: Solve for x
    x = 4,232.58/55.60
  6. Step 6: Final answer
    x = 76.13

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.