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Finding the Fourth Proportional to 105.16, 145.12 and 75.71

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Solution

The fourth proportional to 105.16, 145.12 and 75.71 is: 104.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.16 : 145.12 = 75.71 : x
  2. Step 2: Convert to fraction form
    105.16/145.12 = 75.71/x
  3. Step 3: Cross multiply
    105.16x = 145.12 × 75.71
  4. Step 4: Simplify right side
    105.16x = 10,987.04
  5. Step 5: Solve for x
    x = 10,987.04/105.16
  6. Step 6: Final answer
    x = 104.48

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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.