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Finding the Fourth Proportional to 93.63, 140.42 and 32.77

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Solution

The fourth proportional to 93.63, 140.42 and 32.77 is: 49.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.63 : 140.42 = 32.77 : x
  2. Step 2: Convert to fraction form
    93.63/140.42 = 32.77/x
  3. Step 3: Cross multiply
    93.63x = 140.42 × 32.77
  4. Step 4: Simplify right side
    93.63x = 4,601.29
  5. Step 5: Solve for x
    x = 4,601.29/93.63
  6. Step 6: Final answer
    x = 49.14

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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.