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Finding the Fourth Proportional to 62.43, 93.62 and 32.00

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Solution

The fourth proportional to 62.43, 93.62 and 32.00 is: 47.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    62.43 : 93.62 = 32.00 : x
  2. Step 2: Convert to fraction form
    62.43/93.62 = 32.00/x
  3. Step 3: Cross multiply
    62.43x = 93.62 × 32.00
  4. Step 4: Simplify right side
    62.43x = 2,995.21
  5. Step 5: Solve for x
    x = 2,995.21/62.43
  6. Step 6: Final answer
    x = 47.98

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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.