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Finding the Fourth Proportional to 93.81, 140.64 and 73.51

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Solution

The fourth proportional to 93.81, 140.64 and 73.51 is: 110.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.81 : 140.64 = 73.51 : x
  2. Step 2: Convert to fraction form
    93.81/140.64 = 73.51/x
  3. Step 3: Cross multiply
    93.81x = 140.64 × 73.51
  4. Step 4: Simplify right side
    93.81x = 10,337.82
  5. Step 5: Solve for x
    x = 10,337.82/93.81
  6. Step 6: Final answer
    x = 110.20

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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.