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Finding the Fourth Proportional to 53.45, 73.77 and 42.55

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Solution

The fourth proportional to 53.45, 73.77 and 42.55 is: 58.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.45 : 73.77 = 42.55 : x
  2. Step 2: Convert to fraction form
    53.45/73.77 = 42.55/x
  3. Step 3: Cross multiply
    53.45x = 73.77 × 42.55
  4. Step 4: Simplify right side
    53.45x = 3,138.91
  5. Step 5: Solve for x
    x = 3,138.91/53.45
  6. Step 6: Final answer
    x = 58.73

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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.