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Finding the Fourth Proportional to 62.54, 93.80 and 16.89

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Solution

The fourth proportional to 62.54, 93.80 and 16.89 is: 25.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.54 : 93.80 = 16.89 : x
  2. Step 2: Convert to fraction form
    62.54/93.80 = 16.89/x
  3. Step 3: Cross multiply
    62.54x = 93.80 × 16.89
  4. Step 4: Simplify right side
    62.54x = 1,583.81
  5. Step 5: Solve for x
    x = 1,583.81/62.54
  6. Step 6: Final answer
    x = 25.33

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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.