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Finding the Fourth Proportional to 191.53, 287.35 and 75.98

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Solution

The fourth proportional to 191.53, 287.35 and 75.98 is: 113.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    191.53 : 287.35 = 75.98 : x
  2. Step 2: Convert to fraction form
    191.53/287.35 = 75.98/x
  3. Step 3: Cross multiply
    191.53x = 287.35 × 75.98
  4. Step 4: Simplify right side
    191.53x = 21,832.66
  5. Step 5: Solve for x
    x = 21,832.66/191.53
  6. Step 6: Final answer
    x = 113.99

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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.