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Finding the Fourth Proportional to 109.55, 151.18 and 76.82

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Solution

The fourth proportional to 109.55, 151.18 and 76.82 is: 106.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.55 : 151.18 = 76.82 : x
  2. Step 2: Convert to fraction form
    109.55/151.18 = 76.82/x
  3. Step 3: Cross multiply
    109.55x = 151.18 × 76.82
  4. Step 4: Simplify right side
    109.55x = 11,612.70
  5. Step 5: Solve for x
    x = 11,612.70/109.55
  6. Step 6: Final answer
    x = 106.00

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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.