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Finding the Fourth Proportional to 93.78, 140.42 and 53.07

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Solution

The fourth proportional to 93.78, 140.42 and 53.07 is: 79.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    93.78 : 140.42 = 53.07 : x
  2. Step 2: Convert to fraction form
    93.78/140.42 = 53.07/x
  3. Step 3: Cross multiply
    93.78x = 140.42 × 53.07
  4. Step 4: Simplify right side
    93.78x = 7,451.82
  5. Step 5: Solve for x
    x = 7,451.82/93.78
  6. Step 6: Final answer
    x = 79.46

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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.