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Finding the Fourth Proportional to 93.48, 140.40 and 92.04

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Solution

The fourth proportional to 93.48, 140.40 and 92.04 is: 138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.48 : 140.40 = 92.04 : x
  2. Step 2: Convert to fraction form
    93.48/140.40 = 92.04/x
  3. Step 3: Cross multiply
    93.48x = 140.40 × 92.04
  4. Step 4: Simplify right side
    93.48x = 12,922.42
  5. Step 5: Solve for x
    x = 12,922.42/93.48
  6. Step 6: Final answer
    x = 138.24

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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.