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Finding the Fourth Proportional to 113.00, 169.64 and 87.34

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Solution

The fourth proportional to 113.00, 169.64 and 87.34 is: 131.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.00 : 169.64 = 87.34 : x
  2. Step 2: Convert to fraction form
    113.00/169.64 = 87.34/x
  3. Step 3: Cross multiply
    113.00x = 169.64 × 87.34
  4. Step 4: Simplify right side
    113.00x = 14,816.15
  5. Step 5: Solve for x
    x = 14,816.15/113.00
  6. Step 6: Final answer
    x = 131.12

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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.