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Finding the Fourth Proportional to 57.35, 78.59 and 55.46

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Solution

The fourth proportional to 57.35, 78.59 and 55.46 is: 75.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.35 : 78.59 = 55.46 : x
  2. Step 2: Convert to fraction form
    57.35/78.59 = 55.46/x
  3. Step 3: Cross multiply
    57.35x = 78.59 × 55.46
  4. Step 4: Simplify right side
    57.35x = 4,357.93
  5. Step 5: Solve for x
    x = 4,357.93/57.35
  6. Step 6: Final answer
    x = 75.99

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.