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Finding the Fourth Proportional to 100.95, 151.20 and 77.94

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Solution

The fourth proportional to 100.95, 151.20 and 77.94 is: 116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.95 : 151.20 = 77.94 : x
  2. Step 2: Convert to fraction form
    100.95/151.20 = 77.94/x
  3. Step 3: Cross multiply
    100.95x = 151.20 × 77.94
  4. Step 4: Simplify right side
    100.95x = 11,784.53
  5. Step 5: Solve for x
    x = 11,784.53/100.95
  6. Step 6: Final answer
    x = 116.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.