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Finding the Fourth Proportional to 111.42, 153.64 and 74.59

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Solution

The fourth proportional to 111.42, 153.64 and 74.59 is: 102.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    111.42 : 153.64 = 74.59 : x
  2. Step 2: Convert to fraction form
    111.42/153.64 = 74.59/x
  3. Step 3: Cross multiply
    111.42x = 153.64 × 74.59
  4. Step 4: Simplify right side
    111.42x = 11,459.44
  5. Step 5: Solve for x
    x = 11,459.44/111.42
  6. Step 6: Final answer
    x = 102.85

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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.