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Finding the Fourth Proportional to 109.82, 151.34 and 77.02

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Solution

The fourth proportional to 109.82, 151.34 and 77.02 is: 106.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.82 : 151.34 = 77.02 : x
  2. Step 2: Convert to fraction form
    109.82/151.34 = 77.02/x
  3. Step 3: Cross multiply
    109.82x = 151.34 × 77.02
  4. Step 4: Simplify right side
    109.82x = 11,655.44
  5. Step 5: Solve for x
    x = 11,655.44/109.82
  6. Step 6: Final answer
    x = 106.13

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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.