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Finding the Fourth Proportional to 93.71, 140.53 and 32.80

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Solution

The fourth proportional to 93.71, 140.53 and 32.80 is: 49.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.71 : 140.53 = 32.80 : x
  2. Step 2: Convert to fraction form
    93.71/140.53 = 32.80/x
  3. Step 3: Cross multiply
    93.71x = 140.53 × 32.80
  4. Step 4: Simplify right side
    93.71x = 4,609.38
  5. Step 5: Solve for x
    x = 4,609.38/93.71
  6. Step 6: Final answer
    x = 49.19

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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.