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Finding the Fourth Proportional to 101.99, 152.77 and 74.96

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Solution

The fourth proportional to 101.99, 152.77 and 74.96 is: 112.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    101.99 : 152.77 = 74.96 : x
  2. Step 2: Convert to fraction form
    101.99/152.77 = 74.96/x
  3. Step 3: Cross multiply
    101.99x = 152.77 × 74.96
  4. Step 4: Simplify right side
    101.99x = 11,451.64
  5. Step 5: Solve for x
    x = 11,451.64/101.99
  6. Step 6: Final answer
    x = 112.28

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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.