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Finding the Fourth Proportional to 102.69, 141.75 and 76.46

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Solution

The fourth proportional to 102.69, 141.75 and 76.46 is: 105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.69 : 141.75 = 76.46 : x
  2. Step 2: Convert to fraction form
    102.69/141.75 = 76.46/x
  3. Step 3: Cross multiply
    102.69x = 141.75 × 76.46
  4. Step 4: Simplify right side
    102.69x = 10,838.21
  5. Step 5: Solve for x
    x = 10,838.21/102.69
  6. Step 6: Final answer
    x = 105.54

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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.