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Finding the Fourth Proportional to 109.28, 150.78 and 62.64

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Solution

The fourth proportional to 109.28, 150.78 and 62.64 is: 86.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.28 : 150.78 = 62.64 : x
  2. Step 2: Convert to fraction form
    109.28/150.78 = 62.64/x
  3. Step 3: Cross multiply
    109.28x = 150.78 × 62.64
  4. Step 4: Simplify right side
    109.28x = 9,444.86
  5. Step 5: Solve for x
    x = 9,444.86/109.28
  6. Step 6: Final answer
    x = 86.43

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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.