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Finding the Fourth Proportional to 93.54, 140.30 and 52.42

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Solution

The fourth proportional to 93.54, 140.30 and 52.42 is: 78.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.54 : 140.30 = 52.42 : x
  2. Step 2: Convert to fraction form
    93.54/140.30 = 52.42/x
  3. Step 3: Cross multiply
    93.54x = 140.30 × 52.42
  4. Step 4: Simplify right side
    93.54x = 7,354.53
  5. Step 5: Solve for x
    x = 7,354.53/93.54
  6. Step 6: Final answer
    x = 78.62

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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.