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Finding the Fourth Proportional to 105.20, 145.14 and 76.16

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Solution

The fourth proportional to 105.20, 145.14 and 76.16 is: 105.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.20 : 145.14 = 76.16 : x
  2. Step 2: Convert to fraction form
    105.20/145.14 = 76.16/x
  3. Step 3: Cross multiply
    105.20x = 145.14 × 76.16
  4. Step 4: Simplify right side
    105.20x = 11,053.86
  5. Step 5: Solve for x
    x = 11,053.86/105.20
  6. Step 6: Final answer
    x = 105.07

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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.