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Finding the Fourth Proportional to 93.38, 140.09 and 47.71

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Solution

The fourth proportional to 93.38, 140.09 and 47.71 is: 71.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.38 : 140.09 = 47.71 : x
  2. Step 2: Convert to fraction form
    93.38/140.09 = 47.71/x
  3. Step 3: Cross multiply
    93.38x = 140.09 × 47.71
  4. Step 4: Simplify right side
    93.38x = 6,683.63
  5. Step 5: Solve for x
    x = 6,683.63/93.38
  6. Step 6: Final answer
    x = 71.58

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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.