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Finding the Fourth Proportional to 111.21, 153.53 and 76.24

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Solution

The fourth proportional to 111.21, 153.53 and 76.24 is: 105.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.21 : 153.53 = 76.24 : x
  2. Step 2: Convert to fraction form
    111.21/153.53 = 76.24/x
  3. Step 3: Cross multiply
    111.21x = 153.53 × 76.24
  4. Step 4: Simplify right side
    111.21x = 11,705.13
  5. Step 5: Solve for x
    x = 11,705.13/111.21
  6. Step 6: Final answer
    x = 105.25

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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.