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Finding the Fourth Proportional to 105.35, 145.46 and 72.54

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Solution

The fourth proportional to 105.35, 145.46 and 72.54 is: 100.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.35 : 145.46 = 72.54 : x
  2. Step 2: Convert to fraction form
    105.35/145.46 = 72.54/x
  3. Step 3: Cross multiply
    105.35x = 145.46 × 72.54
  4. Step 4: Simplify right side
    105.35x = 10,551.85
  5. Step 5: Solve for x
    x = 10,551.85/105.35
  6. Step 6: Final answer
    x = 100.16

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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.