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Finding the Fourth Proportional to 100.46, 150.63 and 71.75

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Solution

The fourth proportional to 100.46, 150.63 and 71.75 is: 107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.46 : 150.63 = 71.75 : x
  2. Step 2: Convert to fraction form
    100.46/150.63 = 71.75/x
  3. Step 3: Cross multiply
    100.46x = 150.63 × 71.75
  4. Step 4: Simplify right side
    100.46x = 10,807.70
  5. Step 5: Solve for x
    x = 10,807.70/100.46
  6. Step 6: Final answer
    x = 107.58

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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.