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Finding the Fourth Proportional to 109.36, 150.92 and 76.64

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Solution

The fourth proportional to 109.36, 150.92 and 76.64 is: 105.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.36 : 150.92 = 76.64 : x
  2. Step 2: Convert to fraction form
    109.36/150.92 = 76.64/x
  3. Step 3: Cross multiply
    109.36x = 150.92 × 76.64
  4. Step 4: Simplify right side
    109.36x = 11,566.51
  5. Step 5: Solve for x
    x = 11,566.51/109.36
  6. Step 6: Final answer
    x = 105.77

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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.