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Finding the Fourth Proportional to 113.02, 168.77 and 99.37

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Solution

The fourth proportional to 113.02, 168.77 and 99.37 is: 148.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    113.02 : 168.77 = 99.37 : x
  2. Step 2: Convert to fraction form
    113.02/168.77 = 99.37/x
  3. Step 3: Cross multiply
    113.02x = 168.77 × 99.37
  4. Step 4: Simplify right side
    113.02x = 16,770.67
  5. Step 5: Solve for x
    x = 16,770.67/113.02
  6. Step 6: Final answer
    x = 148.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.