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Finding the Fourth Proportional to 53.57, 73.85 and 49.66

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Solution

The fourth proportional to 53.57, 73.85 and 49.66 is: 68.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.57 : 73.85 = 49.66 : x
  2. Step 2: Convert to fraction form
    53.57/73.85 = 49.66/x
  3. Step 3: Cross multiply
    53.57x = 73.85 × 49.66
  4. Step 4: Simplify right side
    53.57x = 3,667.58
  5. Step 5: Solve for x
    x = 3,667.58/53.57
  6. Step 6: Final answer
    x = 68.46

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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.