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Finding the Fourth Proportional to 113.60, 171.12 and 95.84

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Solution

The fourth proportional to 113.60, 171.12 and 95.84 is: 144.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.60 : 171.12 = 95.84 : x
  2. Step 2: Convert to fraction form
    113.60/171.12 = 95.84/x
  3. Step 3: Cross multiply
    113.60x = 171.12 × 95.84
  4. Step 4: Simplify right side
    113.60x = 16,400.14
  5. Step 5: Solve for x
    x = 16,400.14/113.60
  6. Step 6: Final answer
    x = 144.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.