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Finding the Fourth Proportional to 113.22, 156.16 and 102.99

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Solution

The fourth proportional to 113.22, 156.16 and 102.99 is: 142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.22 : 156.16 = 102.99 : x
  2. Step 2: Convert to fraction form
    113.22/156.16 = 102.99/x
  3. Step 3: Cross multiply
    113.22x = 156.16 × 102.99
  4. Step 4: Simplify right side
    113.22x = 16,082.92
  5. Step 5: Solve for x
    x = 16,082.92/113.22
  6. Step 6: Final answer
    x = 142.05

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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.