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Finding the Fourth Proportional to 93.42, 140.06 and 47.75

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Solution

The fourth proportional to 93.42, 140.06 and 47.75 is: 71.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.42 : 140.06 = 47.75 : x
  2. Step 2: Convert to fraction form
    93.42/140.06 = 47.75/x
  3. Step 3: Cross multiply
    93.42x = 140.06 × 47.75
  4. Step 4: Simplify right side
    93.42x = 6,687.28
  5. Step 5: Solve for x
    x = 6,687.28/93.42
  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.