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Finding the Fourth Proportional to 105.28, 145.16 and 86.60

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Solution

The fourth proportional to 105.28, 145.16 and 86.60 is: 119.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    105.28 : 145.16 = 86.60 : x
  2. Step 2: Convert to fraction form
    105.28/145.16 = 86.60/x
  3. Step 3: Cross multiply
    105.28x = 145.16 × 86.60
  4. Step 4: Simplify right side
    105.28x = 12,570.86
  5. Step 5: Solve for x
    x = 12,570.86/105.28
  6. Step 6: Final answer
    x = 119.40

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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.