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Finding the Fourth Proportional to 57.39, 85.93 and 55.66

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Solution

The fourth proportional to 57.39, 85.93 and 55.66 is: 83.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57.39 : 85.93 = 55.66 : x
  2. Step 2: Convert to fraction form
    57.39/85.93 = 55.66/x
  3. Step 3: Cross multiply
    57.39x = 85.93 × 55.66
  4. Step 4: Simplify right side
    57.39x = 4,782.86
  5. Step 5: Solve for x
    x = 4,782.86/57.39
  6. Step 6: Final answer
    x = 83.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.