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Finding the Fourth Proportional to 105.74, 145.75 and 72.94

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Solution

The fourth proportional to 105.74, 145.75 and 72.94 is: 100.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.74 : 145.75 = 72.94 : x
  2. Step 2: Convert to fraction form
    105.74/145.75 = 72.94/x
  3. Step 3: Cross multiply
    105.74x = 145.75 × 72.94
  4. Step 4: Simplify right side
    105.74x = 10,630.46
  5. Step 5: Solve for x
    x = 10,630.46/105.74
  6. Step 6: Final answer
    x = 100.53

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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.