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Finding the Fourth Proportional to 100.76, 150.92 and 70.38

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Solution

The fourth proportional to 100.76, 150.92 and 70.38 is: 105.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.76 : 150.92 = 70.38 : x
  2. Step 2: Convert to fraction form
    100.76/150.92 = 70.38/x
  3. Step 3: Cross multiply
    100.76x = 150.92 × 70.38
  4. Step 4: Simplify right side
    100.76x = 10,621.75
  5. Step 5: Solve for x
    x = 10,621.75/100.76
  6. Step 6: Final answer
    x = 105.42

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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.