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Finding the Fourth Proportional to 113.42, 169.95 and 72.75

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Solution

The fourth proportional to 113.42, 169.95 and 72.75 is: 109.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.42 : 169.95 = 72.75 : x
  2. Step 2: Convert to fraction form
    113.42/169.95 = 72.75/x
  3. Step 3: Cross multiply
    113.42x = 169.95 × 72.75
  4. Step 4: Simplify right side
    113.42x = 12,363.86
  5. Step 5: Solve for x
    x = 12,363.86/113.42
  6. Step 6: Final answer
    x = 109.01

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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.