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Finding the Fourth Proportional to 93.74, 140.58 and 69.14

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Solution

The fourth proportional to 93.74, 140.58 and 69.14 is: 103.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.74 : 140.58 = 69.14 : x
  2. Step 2: Convert to fraction form
    93.74/140.58 = 69.14/x
  3. Step 3: Cross multiply
    93.74x = 140.58 × 69.14
  4. Step 4: Simplify right side
    93.74x = 9,719.70
  5. Step 5: Solve for x
    x = 9,719.70/93.74
  6. Step 6: Final answer
    x = 103.69

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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.