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Finding the Fourth Proportional to 62.63, 93.80 and 32.14

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Solution

The fourth proportional to 62.63, 93.80 and 32.14 is: 48.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.63 : 93.80 = 32.14 : x
  2. Step 2: Convert to fraction form
    62.63/93.80 = 32.14/x
  3. Step 3: Cross multiply
    62.63x = 93.80 × 32.14
  4. Step 4: Simplify right side
    62.63x = 3,014.73
  5. Step 5: Solve for x
    x = 3,014.73/62.63
  6. Step 6: Final answer
    x = 48.14

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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.