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Finding the Fourth Proportional to 105.71, 145.77 and 74.57

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Solution

The fourth proportional to 105.71, 145.77 and 74.57 is: 102.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.71 : 145.77 = 74.57 : x
  2. Step 2: Convert to fraction form
    105.71/145.77 = 74.57/x
  3. Step 3: Cross multiply
    105.71x = 145.77 × 74.57
  4. Step 4: Simplify right side
    105.71x = 10,869.34
  5. Step 5: Solve for x
    x = 10,869.34/105.71
  6. Step 6: Final answer
    x = 102.83

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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.