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Finding the Fourth Proportional to 62.47, 93.81 and 53.97

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Solution

The fourth proportional to 62.47, 93.81 and 53.97 is: 81.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.47 : 93.81 = 53.97 : x
  2. Step 2: Convert to fraction form
    62.47/93.81 = 53.97/x
  3. Step 3: Cross multiply
    62.47x = 93.81 × 53.97
  4. Step 4: Simplify right side
    62.47x = 5,062.19
  5. Step 5: Solve for x
    x = 5,062.19/62.47
  6. Step 6: Final answer
    x = 81.03

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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.