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Finding the Fourth Proportional to 53.72, 80.86 and 45.89

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Solution

The fourth proportional to 53.72, 80.86 and 45.89 is: 69.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    53.72 : 80.86 = 45.89 : x
  2. Step 2: Convert to fraction form
    53.72/80.86 = 45.89/x
  3. Step 3: Cross multiply
    53.72x = 80.86 × 45.89
  4. Step 4: Simplify right side
    53.72x = 3,710.15
  5. Step 5: Solve for x
    x = 3,710.15/53.72
  6. Step 6: Final answer
    x = 69.07

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.