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Finding the Fourth Proportional to 93.69, 140.57 and 39.63

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Solution

The fourth proportional to 93.69, 140.57 and 39.63 is: 59.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.69 : 140.57 = 39.63 : x
  2. Step 2: Convert to fraction form
    93.69/140.57 = 39.63/x
  3. Step 3: Cross multiply
    93.69x = 140.57 × 39.63
  4. Step 4: Simplify right side
    93.69x = 5,570.79
  5. Step 5: Solve for x
    x = 5,570.79/93.69
  6. Step 6: Final answer
    x = 59.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.