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Finding the Fourth Proportional to 109.89, 151.47 and 77.09

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Solution

The fourth proportional to 109.89, 151.47 and 77.09 is: 106.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.89 : 151.47 = 77.09 : x
  2. Step 2: Convert to fraction form
    109.89/151.47 = 77.09/x
  3. Step 3: Cross multiply
    109.89x = 151.47 × 77.09
  4. Step 4: Simplify right side
    109.89x = 11,676.06
  5. Step 5: Solve for x
    x = 11,676.06/109.89
  6. Step 6: Final answer
    x = 106.25

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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.