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Finding the Fourth Proportional to 108.71, 150 and 75.95

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Solution

The fourth proportional to 108.71, 150 and 75.95 is: 104.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.71 : 150 = 75.95 : x
  2. Step 2: Convert to fraction form
    108.71/150 = 75.95/x
  3. Step 3: Cross multiply
    108.71x = 150 × 75.95
  4. Step 4: Simplify right side
    108.71x = 11,392.50
  5. Step 5: Solve for x
    x = 11,392.50/108.71
  6. Step 6: Final answer
    x = 104.80

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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.