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Finding the Fourth Proportional to 102, 140.64 and 83.54

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Solution

The fourth proportional to 102, 140.64 and 83.54 is: 115.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 140.64 = 83.54 : x
  2. Step 2: Convert to fraction form
    102/140.64 = 83.54/x
  3. Step 3: Cross multiply
    102x = 140.64 × 83.54
  4. Step 4: Simplify right side
    102x = 11,749.07
  5. Step 5: Solve for x
    x = 11,749.07/102
  6. Step 6: Final answer
    x = 115.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.