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Finding the Fourth Proportional to 109.61, 151.33 and 76.81

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Solution

The fourth proportional to 109.61, 151.33 and 76.81 is: 106.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.61 : 151.33 = 76.81 : x
  2. Step 2: Convert to fraction form
    109.61/151.33 = 76.81/x
  3. Step 3: Cross multiply
    109.61x = 151.33 × 76.81
  4. Step 4: Simplify right side
    109.61x = 11,623.66
  5. Step 5: Solve for x
    x = 11,623.66/109.61
  6. Step 6: Final answer
    x = 106.05

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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.